34938224640 has 544 divisors, whose sum is σ = 135894412800. Its totient is φ = 8446279680.

The previous prime is 34938224627. The next prime is 34938224663. The reversal of 34938224640 is 4642283943.

34938224640 is a `hidden beast` number, since 3 + 493 + 82 + 2 + 46 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97320781 + ... + 97321139.

Almost surely, 2^34938224640 is an apocalyptic number.

34938224640 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 34938224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67947206400).

34938224640 is an abundant number, since it is smaller than the sum of its proper divisors (100956188160).

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

34938224640 is an equidigital number, since it uses as much as digits as its factorization.

34938224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 34938224640 in words is "thirty-four billion, nine hundred thirty-eight million, two hundred twenty-four thousand, six hundred forty".