34400177603136 has 560 divisors, whose sum is σ = 109548024957360. Its totient is φ = 10634880614400.

The previous prime is 34400177603123. The next prime is 34400177603173. The reversal of 34400177603136 is 63130677100443.

34400177603136 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 0 + 1 + 7 + 7 + 603 + 1 + 36 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4744311284736 + 29655866318400 = 2178144^2 + 5445720^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34400177603091 and 34400177603100.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11586451060 + ... + 11586454028.

Almost surely, 2^{34400177603136} is an apocalyptic number.

34400177603136 is a gapful number since it is divisible by the number (36) 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 34400177603136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54774012478680).

34400177603136 is an abundant number, since it is smaller than the sum of its proper divisors (75147847354224).

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

34400177603136 is a wasteful number, since it uses less digits than its factorization.

34400177603136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4884 (or 4865 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 34400177603136 in words is "thirty-four trillion, four hundred billion, one hundred seventy-seven million, six hundred three thousand, one hundred thirty-six".