34013020102400 has 108 divisors (see below), whose sum is σ = 84242840868312. Its totient is φ = 13596270981120.

The previous prime is 34013020102343. The next prime is 34013020102433. The reversal of 34013020102400 is 420102031043.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8002442 + ... + 11491958.

Almost surely, 2^{34013020102400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34013020102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42121420434156).

34013020102400 is an abundant number, since it is smaller than the sum of its proper divisors (50229820765912).

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

34013020102400 is a wasteful number, since it uses less digits than its factorization.

34013020102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491066 (or 3491047 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 34013020102400 its reverse (420102031043), we get a palindrome (34433122133443).

The spelling of 34013020102400 in words is "thirty-four trillion, thirteen billion, twenty million, one hundred two thousand, four hundred".