3720921935040 has 560 divisors, whose sum is σ = 13795897589760. Its totient is φ = 950894069760.

The previous prime is 3720921934991. The next prime is 3720921935111. The reversal of 3720921935040 is 405391290273.

3720921935040 is a `hidden beast` number, since 37 + 2 + 0 + 9 + 21 + 93 + 504 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 82740081 + ... + 82785039.

Almost surely, 2^{3720921935040} is an apocalyptic number.

3720921935040 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 3720921935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6897948794880).

3720921935040 is an abundant number, since it is smaller than the sum of its proper divisors (10074975654720).

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

3720921935040 is a wasteful number, since it uses less digits than its factorization.

3720921935040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45122 (or 45103 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 3720921935040 in words is "three trillion, seven hundred twenty billion, nine hundred twenty-one million, nine hundred thirty-five thousand, forty".