3507935472 has 80 divisors (see below), whose sum is σ = 10097568000. Its totient is φ = 1166003136.

The previous prime is 3507935467. The next prime is 3507935491. The reversal of 3507935472 is 2745397053.

3507935472 is a `hidden beast` number, since 3 + 507 + 93 + 54 + 7 + 2 = 666.

It is a super-2 number, since 2×3507935472² = 24611222551431725568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143779 + ... + 166397.

It is an arithmetic number, because the mean of its divisors is an integer number (126219600).

Almost surely, 2^3507935472 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 3507935472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5048784000).

3507935472 is an abundant number, since it is smaller than the sum of its proper divisors (6589632528).

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

3507935472 is a wasteful number, since it uses less digits than its factorization.

3507935472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22995 (or 22983 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The square root of 3507935472 is about 59227.8268384043. The cubic root of 3507935472 is about 1519.4410849051.

The spelling of 3507935472 in words is "three billion, five hundred seven million, nine hundred thirty-five thousand, four hundred seventy-two".