30838752 has 96 divisors (see below), whose sum is σ = 102816000. Its totient is φ = 8809344.

The previous prime is 30838751. The next prime is 30838763. The reversal of 30838752 is 25783803.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30838751) 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, 3499 + ... + 8597.

It is an arithmetic number, because the mean of its divisors is an integer number (1071000).

Almost surely, 2^30838752 is an apocalyptic number.

30838752 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 30838752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51408000).

30838752 is an abundant number, since it is smaller than the sum of its proper divisors (71977248).

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

30838752 is a wasteful number, since it uses less digits than its factorization.

30838752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5125 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 30838752 is about 5553.2649855738. The cubic root of 30838752 is about 313.5924500126.

It can be divided in two parts, 308 and 38752, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 30838752 in words is "thirty million, eight hundred thirty-eight thousand, seven hundred fifty-two".