3718534142400 has 672 divisors, whose sum is σ = 15220574535168. Its totient is φ = 772158259200.

The previous prime is 3718534142399. The next prime is 3718534142443. The reversal of 3718534142400 is 42414358173.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 795746464 + ... + 795751136.

Almost surely, 2^{3718534142400} is an apocalyptic number.

3718534142400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3718534142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7610287267584).

3718534142400 is an abundant number, since it is smaller than the sum of its proper divisors (11502040392768).

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

3718534142400 is a wasteful number, since it uses less digits than its factorization.

3718534142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6869 (or 6854 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 3718534142400 in words is "three trillion, seven hundred eighteen billion, five hundred thirty-four million, one hundred forty-two thousand, four hundred".