34124290320 has 120 divisors (see below), whose sum is σ = 111646264896. Its totient is φ = 8620851456.

The previous prime is 34124290289. The next prime is 34124290337. The reversal of 34124290320 is 2309242143.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110292 + ... + 283571.

Almost surely, 2^34124290320 is an apocalyptic number.

34124290320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34124290320 is an abundant number, since it is smaller than the sum of its proper divisors (77521974576).

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

34124290320 is a wasteful number, since it uses less digits than its factorization.

34124290320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393917 (or 393892 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 34124290320 in words is "thirty-four billion, one hundred twenty-four million, two hundred ninety thousand, three hundred twenty".