3535875072 has 352 divisors, whose sum is σ = 11319091200. Its totient is φ = 1086898176.

The previous prime is 3535875023. The next prime is 3535875131. The reversal of 3535875072 is 2705785353.

3535875072 is a `hidden beast` number, since 35 + 35 + 87 + 507 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27841473 + ... + 27841599.

Almost surely, 2^3535875072 is an apocalyptic number.

3535875072 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 3535875072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5659545600).

3535875072 is an abundant number, since it is smaller than the sum of its proper divisors (7783216128).

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

3535875072 is a wasteful number, since it uses less digits than its factorization.

3535875072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The square root of 3535875072 is about 59463.2245341606. The cubic root of 3535875072 is about 1523.4643787030.

The spelling of 3535875072 in words is "three billion, five hundred thirty-five million, eight hundred seventy-five thousand, seventy-two".