3747735734400 has 2304 divisors, whose sum is σ = 16989945073920. Its totient is φ = 796262400000.

The previous prime is 3747735734381. The next prime is 3747735734429. The reversal of 3747735734400 is 44375377473.

3747735734400 is a `hidden beast` number, since 3 + 74 + 77 + 35 + 73 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9345974200 + ... + 9345974600.

It is an arithmetic number, because the mean of its divisors is an integer number (7374108105).

Almost surely, 2^{3747735734400} is an apocalyptic number.

3747735734400 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 3747735734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8494972536960).

3747735734400 is an abundant number, since it is smaller than the sum of its proper divisors (13242209339520).

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

3747735734400 is a wasteful number, since it uses less digits than its factorization.

3747735734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 20744640, while the sum is 54.

The spelling of 3747735734400 in words is "three trillion, seven hundred forty-seven billion, seven hundred thirty-five million, seven hundred thirty-four thousand, four hundred".