34932306240 has 280 divisors, whose sum is σ = 133820138760. Its totient is φ = 8598638592.

The previous prime is 34932306209. The next prime is 34932306257. The reversal of 34932306240 is 4260323943.

34932306240 is a `hidden beast` number, since 3 + 4 + 9 + 3 + 23 + 0 + 624 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2064066624 + 32868239616 = 45432^2 + 181296^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 34932306195 and 34932306204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 285126 + ... + 388794.

It is an arithmetic number, because the mean of its divisors is an integer number (477929067).

Almost surely, 2^34932306240 is an apocalyptic number.

34932306240 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 34932306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66910069380).

34932306240 is an abundant number, since it is smaller than the sum of its proper divisors (98887832520).

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

34932306240 is a wasteful number, since it uses less digits than its factorization.

34932306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103711 (or 103692 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 34932306240 in words is "thirty-four billion, nine hundred thirty-two million, three hundred six thousand, two hundred forty".