34302140124032 has 64 divisors (see below), whose sum is σ = 75232618441200. Its totient is φ = 15448837017600.

The previous prime is 34302140124013. The next prime is 34302140124067. The reversal of 34302140124032 is 23042104120343.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 34302140123986 and 34302140124004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111600269 + ... + 111907212.

Almost surely, 2^{34302140124032} is an apocalyptic number.

34302140124032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34302140124032 is an abundant number, since it is smaller than the sum of its proper divisors (40930478317168).

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

34302140124032 is a wasteful number, since it uses less digits than its factorization.

34302140124032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223507615 (or 223507603 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 34302140124032 its reverse (23042104120343), we get a palindrome (57344244244375).

The spelling of 34302140124032 in words is "thirty-four trillion, three hundred two billion, one hundred forty million, one hundred twenty-four thousand, thirty-two".