3495872679936 has 832 divisors, whose sum is σ = 12787710566400. Its totient is φ = 821997600768.

The previous prime is 3495872679913. The next prime is 3495872679941. The reversal of 3495872679936 is 6399762785943.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×3495872679936² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 361176345 + ... + 361186023.

Almost surely, 2^{3495872679936} 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 3495872679936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6393855283200).

3495872679936 is an abundant number, since it is smaller than the sum of its proper divisors (9291837886464).

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

3495872679936 is a wasteful number, since it uses less digits than its factorization.

3495872679936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9762 (or 9740 counting only the distinct ones).

The product of its digits is 3703553280, while the sum is 78.

The spelling of 3495872679936 in words is "three trillion, four hundred ninety-five billion, eight hundred seventy-two million, six hundred seventy-nine thousand, nine hundred thirty-six".