34764921360 has 480 divisors, whose sum is σ = 136081790208. Its totient is φ = 8184084480.

The previous prime is 34764921329. The next prime is 34764921361. The reversal of 34764921360 is 6312946743.

34764921360 is a `hidden beast` number, since 3 + 476 + 49 + 2 + 136 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (34764921361) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5809570 + ... + 5815550.

Almost surely, 2^34764921360 is an apocalyptic number.

34764921360 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 34764921360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68040895104).

34764921360 is an abundant number, since it is smaller than the sum of its proper divisors (101316868848).

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

34764921360 is a wasteful number, since it uses less digits than its factorization.

34764921360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6045 (or 6027 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 34764921360 in words is "thirty-four billion, seven hundred sixty-four million, nine hundred twenty-one thousand, three hundred sixty".