30874032 has 120 divisors (see below), whose sum is σ = 100008480. Its totient is φ = 8709120.

The previous prime is 30874003. The next prime is 30874079. The reversal of 30874032 is 23047803.

It is a junction number, because it is equal to n+sod(n) for n = 30873987 and 30874005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109732 + ... + 110012.

It is an arithmetic number, because the mean of its divisors is an integer number (833404).

Almost surely, 2^30874032 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 30874032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50004240).

30874032 is an abundant number, since it is smaller than the sum of its proper divisors (69134448).

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

30874032 is a wasteful number, since it uses less digits than its factorization.

30874032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 30874032 is about 5556.4405872825. The cubic root of 30874032 is about 313.7119892789.

It can be divided in two parts, 3087 and 4032, that multiplied together give a square (12446784 = 3528²).

The spelling of 30874032 in words is "thirty million, eight hundred seventy-four thousand, thirty-two".