3135932032 has 64 divisors (see below), whose sum is σ = 6370993440. Its totient is φ = 1537254400.

The previous prime is 3135931991. The next prime is 3135932087. The reversal of 3135932032 is 2302395313.

It is a tau number, because it is divible by the number of its divisors (64).

Together with 3235061408 it forms an amicable pair .

It is a junction number, because it is equal to n+sod(n) for n = 3135931985 and 3135932003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1382163 + ... + 1384429.

Almost surely, 2^3135932032 is an apocalyptic number.

3135932032 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 3135932032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185496720).

3135932032 is an abundant number, since it is smaller than the sum of its proper divisors (3235061408).

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

3135932032 is a wasteful number, since it uses less digits than its factorization.

3135932032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 31.

The square root of 3135932032 is about 55999.3931395689. The cubic root of 3135932032 is about 1463.7117092861.

The spelling of 3135932032 in words is "three billion, one hundred thirty-five million, nine hundred thirty-two thousand, thirty-two".