934004736 has 384 divisors, whose sum is σ = 3354624000. Its totient is φ = 250822656.

The previous prime is 934004699. The next prime is 934004741. The reversal of 934004736 is 637400439.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 934004736.

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 31 ways as a sum of consecutive naturals, for example, 7354305 + ... + 7354431.

It is an arithmetic number, because the mean of its divisors is an integer number (8736000).

Almost surely, 2^934004736 is an apocalyptic number.

934004736 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 934004736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677312000).

934004736 is an abundant number, since it is smaller than the sum of its proper divisors (2420619264).

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

934004736 is a wasteful number, since it uses less digits than its factorization.

934004736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 934004736 is about 30561.4910631010. The cubic root of 934004736 is about 977.4990848211.

The spelling of 934004736 in words is "nine hundred thirty-four million, four thousand, seven hundred thirty-six".