34231505400 has 72 divisors (see below), whose sum is σ = 114960811680. Its totient is φ = 9128400960.

The previous prime is 34231505381. The next prime is 34231505419. The reversal of 34231505400 is 450513243.

34231505400 is a `hidden beast` number, since 3 + 42 + 31 + 50 + 540 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34231505381) and next prime (34231505419).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9506952 + ... + 9510551.

It is an arithmetic number, because the mean of its divisors is an integer number (1596677940).

Almost surely, 2^34231505400 is an apocalyptic number.

34231505400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34231505400 is an abundant number, since it is smaller than the sum of its proper divisors (80729306280).

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

34231505400 is a wasteful number, since it uses less digits than its factorization.

34231505400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19017525 (or 19017513 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 34231505400 in words is "thirty-four billion, two hundred thirty-one million, five hundred five thousand, four hundred".