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3740974380 = 223251113237189
BaseRepresentation
bin1101111011111010…
…1011110100101100
3100122201022012002200
43132332223310230
530130142140010
61415114021500
7161463520563
oct33676536454
910581265080
103740974380
11164a756470
12884a17890
1347806bb10
14276ba8bda
1516d65bcc0
hexdefabd2c

3740974380 has 576 divisors, whose sum is σ = 14265538560. Its totient is φ = 780595200.

The previous prime is 3740974379. The next prime is 3740974387. The reversal of 3740974380 is 834790473.

3740974380 = 59462 + 59472 + ... + 60492.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3740974387) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42033376 + ... + 42033464.

It is an arithmetic number, because the mean of its divisors is an integer number (24766560).

Almost surely, 23740974380 is an apocalyptic number.

3740974380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3740974380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132769280).

3740974380 is an abundant number, since it is smaller than the sum of its proper divisors (10524564180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3740974380 is a wasteful number, since it uses less digits than its factorization.

3740974380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3740974380 is about 61163.5052952330. The cubic root of 3740974380 is about 1552.3688205498.

The spelling of 3740974380 in words is "three billion, seven hundred forty million, nine hundred seventy-four thousand, three hundred eighty".