34782232320 has 432 divisors, whose sum is σ = 132905066112. Its totient is φ = 8327946240.

The previous prime is 34782232301. The next prime is 34782232337. The reversal of 34782232320 is 2323228743.

34782232320 is a `hidden beast` number, since 34 + 78 + 2 + 232 + 320 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10516107 + ... + 10519413.

It is an arithmetic number, because the mean of its divisors is an integer number (307650616).

Almost surely, 2^34782232320 is an apocalyptic number.

34782232320 is a gapful number since it is divisible by the number (30) 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 34782232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66452533056).

34782232320 is an abundant number, since it is smaller than the sum of its proper divisors (98122833792).

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

34782232320 is a wasteful number, since it uses less digits than its factorization.

34782232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 34782232320 in words is "thirty-four billion, seven hundred eighty-two million, two hundred thirty-two thousand, three hundred twenty".