3737438724096 has 1344 divisors, whose sum is σ = 14357987804160. Its totient is φ = 943093186560.

The previous prime is 3737438724079. The next prime is 3737438724139. The reversal of 3737438724096 is 6904278347373.

It is a happy number.

3737438724096 is a `hidden beast` number, since 3 + 7 + 3 + 7 + 4 + 387 + 240 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×3737438724096² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5671378615 + ... + 5671379273.

It is an arithmetic number, because the mean of its divisors is an integer number (10683026640).

Almost surely, 2^{3737438724096} is an apocalyptic number.

3737438724096 is a gapful number since it is divisible by the number (36) 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 3737438724096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7178993902080).

3737438724096 is an abundant number, since it is smaller than the sum of its proper divisors (10620549080064).

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

3737438724096 is an equidigital number, since it uses as much as digits as its factorization.

3737438724096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 63.

The spelling of 3737438724096 in words is "three trillion, seven hundred thirty-seven billion, four hundred thirty-eight million, seven hundred twenty-four thousand, ninety-six".