3738456000 has 336 divisors, whose sum is σ = 13506236640. Its totient is φ = 987033600.

The previous prime is 3738455983. The next prime is 3738456047. The reversal of 3738456000 is 6548373.

It is a happy number.

3738456000 is a `hidden beast` number, since 3 + 7 + 3 + 8 + 45 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9863811 + ... + 9864189.

Almost surely, 2^3738456000 is an apocalyptic number.

3738456000 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 3738456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6753118320).

3738456000 is an abundant number, since it is smaller than the sum of its proper divisors (9767780640).

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

3738456000 is a wasteful number, since it uses less digits than its factorization.

3738456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3738456000 is about 61142.9145527100. The cubic root of 3738456000 is about 1552.0203968694.

The spelling of 3738456000 in words is "three billion, seven hundred thirty-eight million, four hundred fifty-six thousand".