3507364032 has 112 divisors (see below), whose sum is σ = 9480499200. Its totient is φ = 1144038400.

The previous prime is 3507364013. The next prime is 3507364037. The reversal of 3507364032 is 2304637053.

It is a junction number, because it is equal to n+sod(n) for n = 3507363984 and 3507364002.

It is not an unprimeable number, because it can be changed into a prime (3507364037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3046657 + ... + 3047807.

Almost surely, 2^3507364032 is an apocalyptic number.

3507364032 is a gapful number since it is divisible by the number (32) 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 3507364032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4740249600).

3507364032 is an abundant number, since it is smaller than the sum of its proper divisors (5973135168).

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

3507364032 is a wasteful number, since it uses less digits than its factorization.

3507364032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 33.

The square root of 3507364032 is about 59223.0025581277. The cubic root of 3507364032 is about 1519.3585751619.

The spelling of 3507364032 in words is "three billion, five hundred seven million, three hundred sixty-four thousand, thirty-two".