3742757240040 has 512 divisors, whose sum is σ = 16163062272000. Its totient is φ = 748118135808.

The previous prime is 3742757240003. The next prime is 3742757240063. The reversal of 3742757240040 is 400427572473.

3742757240040 is a `hidden beast` number, since 3 + 74 + 2 + 7 + 572 + 4 + 0 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 865147 + ... + 2869493.

It is an arithmetic number, because the mean of its divisors is an integer number (31568481000).

Almost surely, 2^{3742757240040} is an apocalyptic number.

3742757240040 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 3742757240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8081531136000).

3742757240040 is an abundant number, since it is smaller than the sum of its proper divisors (12420305031960).

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

3742757240040 is a wasteful number, since it uses less digits than its factorization.

3742757240040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004406 (or 2004396 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 45.

The spelling of 3742757240040 in words is "three trillion, seven hundred forty-two billion, seven hundred fifty-seven million, two hundred forty thousand, forty".