932034816 has 288 divisors, whose sum is σ = 2982604800. Its totient is φ = 286156800.

The previous prime is 932034793. The next prime is 932034823. The reversal of 932034816 is 618430239.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 6172341 + ... + 6172491.

Almost surely, 2^932034816 is an apocalyptic number.

932034816 is a gapful number since it is divisible by the number (96) 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 932034816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491302400).

932034816 is an abundant number, since it is smaller than the sum of its proper divisors (2050569984).

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

932034816 is a wasteful number, since it uses less digits than its factorization.

932034816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 932034816 is about 30529.2452576214. The cubic root of 932034816 is about 976.8113829726.

The spelling of 932034816 in words is "nine hundred thirty-two million, thirty-four thousand, eight hundred sixteen".