3738814278696 has 1152 divisors, whose sum is σ = 13553361469440. Its totient is φ = 906271027200.

The previous prime is 3738814278623. The next prime is 3738814278697. The reversal of 3738814278696 is 6968724188373.

3738814278696 is a `hidden beast` number, since 3 + 7 + 38 + 8 + 1 + 427 + 86 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3738814278697) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11295511251 + ... + 11295511581.

It is an arithmetic number, because the mean of its divisors is an integer number (11765070720).

Almost surely, 2^{3738814278696} is an apocalyptic number.

3738814278696 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 3738814278696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6776680734720).

3738814278696 is an abundant number, since it is smaller than the sum of its proper divisors (9814547190744).

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

3738814278696 is a wasteful number, since it uses less digits than its factorization.

3738814278696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 457 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 3738814278696 in words is "three trillion, seven hundred thirty-eight billion, eight hundred fourteen million, two hundred seventy-eight thousand, six hundred ninety-six".