3742075699200 has 540 divisors, whose sum is σ = 13431172329120. Its totient is φ = 995906027520.

The previous prime is 3742075699177. The next prime is 3742075699211. The reversal of 3742075699200 is 29965702473.

3742075699200 is a `hidden beast` number, since 3 + 7 + 420 + 7 + 5 + 6 + 9 + 9 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3601612281 + ... + 3601613319.

Almost surely, 2^{3742075699200} is an apocalyptic number.

3742075699200 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 3742075699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6715586164560).

3742075699200 is an abundant number, since it is smaller than the sum of its proper divisors (9689096629920).

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

3742075699200 is a wasteful number, since it uses less digits than its factorization.

3742075699200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 3742075699200 in words is "three trillion, seven hundred forty-two billion, seventy-five million, six hundred ninety-nine thousand, two hundred".