3336696937728 has 1728 divisors, whose sum is σ = 13078125527040. Its totient is φ = 828875980800.

The previous prime is 3336696937687. The next prime is 3336696937771. The reversal of 3336696937728 is 8277396966333.

3336696937728 is a `hidden beast` number, since 3 + 3 + 366 + 96 + 93 + 77 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×3336696937728² (a number of 26 digits) contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19287265450 + ... + 19287265622.

It is an arithmetic number, because the mean of its divisors is an integer number (7568359680).

Almost surely, 2^{3336696937728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3336696937728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6539062763520).

3336696937728 is an abundant number, since it is smaller than the sum of its proper divisors (9741428589312).

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

3336696937728 is a wasteful number, since it uses less digits than its factorization.

3336696937728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 394 counting only the distinct ones).

The product of its digits is 1111065984, while the sum is 72.

The spelling of 3336696937728 in words is "three trillion, three hundred thirty-six billion, six hundred ninety-six million, nine hundred thirty-seven thousand, seven hundred twenty-eight".