34621010400 has 72 divisors (see below), whose sum is σ = 112691396664. Its totient is φ = 9232268800.

The previous prime is 34621010377. The next prime is 34621010407. The reversal of 34621010400 is 401012643.

It is a super-2 number, since 2×34621010400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34621010407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7210311 + ... + 7215110.

It is an arithmetic number, because the mean of its divisors is an integer number (1565158287).

Almost surely, 2^34621010400 is an apocalyptic number.

34621010400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34621010400 is an abundant number, since it is smaller than the sum of its proper divisors (78070386264).

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

34621010400 is a wasteful number, since it uses less digits than its factorization.

34621010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14425444 (or 14425431 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The spelling of 34621010400 in words is "thirty-four billion, six hundred twenty-one million, ten thousand, four hundred".