34387752960 has 480 divisors, whose sum is σ = 134497162800. Its totient is φ = 8334213120.

The previous prime is 34387752953. The next prime is 34387753007. The reversal of 34387752960 is 6925778343.

34387752960 is a `hidden beast` number, since 3 + 43 + 8 + 77 + 529 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 34387752897 and 34387752906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9121956 + ... + 9125724.

Almost surely, 2^34387752960 is an apocalyptic number.

34387752960 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 34387752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67248581400).

34387752960 is an abundant number, since it is smaller than the sum of its proper divisors (100109409840).

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

34387752960 is a wasteful number, since it uses less digits than its factorization.

34387752960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 34387752960 in words is "thirty-four billion, three hundred eighty-seven million, seven hundred fifty-two thousand, nine hundred sixty".