3724745414400 has 1296 divisors, whose sum is σ = 14198503737600. Its totient is φ = 929674690560.

The previous prime is 3724745414399. The next prime is 3724745414431. The reversal of 3724745414400 is 44145474273.

3724745414400 is a `hidden beast` number, since 37 + 2 + 4 + 74 + 541 + 4 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20808633511 + ... + 20808633689.

It is an arithmetic number, because the mean of its divisors is an integer number (10955635600).

Almost surely, 2^{3724745414400} is an apocalyptic number.

3724745414400 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 3724745414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7099251868800).

3724745414400 is an abundant number, since it is smaller than the sum of its proper divisors (10473758323200).

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

3724745414400 is a wasteful number, since it uses less digits than its factorization.

3724745414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 45.

The spelling of 3724745414400 in words is "three trillion, seven hundred twenty-four billion, seven hundred forty-five million, four hundred fourteen thousand, four hundred".