34122651000 has 128 divisors (see below), whose sum is σ = 112066156800. Its totient is φ = 8620444800.

The previous prime is 34122650951. The next prime is 34122651023. The reversal of 34122651000 is 15622143.

It is a super-2 number, since 2×34122651000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 242322 + ... + 356321.

It is an arithmetic number, because the mean of its divisors is an integer number (875516850).

Almost surely, 2^34122651000 is an apocalyptic number.

34122651000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34122651000 is an abundant number, since it is smaller than the sum of its proper divisors (77943505800).

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

34122651000 is a wasteful number, since it uses less digits than its factorization.

34122651000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598686 (or 598672 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 34122651000 in words is "thirty-four billion, one hundred twenty-two million, six hundred fifty-one thousand".