35372748672 has 48 divisors (see below), whose sum is σ = 101788772280. Its totient is φ = 11790915840.

The previous prime is 35372748661. The next prime is 35372748701. The reversal of 35372748672 is 27684727353.

35372748672 is a `hidden beast` number, since 3 + 537 + 2 + 7 + 48 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×35372748672³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15351604 + ... + 15353907.

Almost surely, 2^35372748672 is an apocalyptic number.

35372748672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

35372748672 is an abundant number, since it is smaller than the sum of its proper divisors (66416023608).

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

35372748672 is a wasteful number, since it uses less digits than its factorization.

35372748672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30705531 (or 30705516 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 54.

The spelling of 35372748672 in words is "thirty-five billion, three hundred seventy-two million, seven hundred forty-eight thousand, six hundred seventy-two".