3790661898240 has 2912 divisors, whose sum is σ = 17326819399680. Its totient is φ = 775686979584.

The previous prime is 3790661898239. The next prime is 3790661898251. The reversal of 3790661898240 is 428981660973.

3790661898240 is a `hidden beast` number, since 3 + 7 + 9 + 0 + 6 + 618 + 9 + 8 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 45670625239 + ... + 45670625321.

Almost surely, 2^{3790661898240} is an apocalyptic number.

3790661898240 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 3790661898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8663409699840).

3790661898240 is an abundant number, since it is smaller than the sum of its proper divisors (13536157501440).

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

3790661898240 is an equidigital number, since it uses as much as digits as its factorization.

3790661898240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 3790661898240 in words is "three trillion, seven hundred ninety billion, six hundred sixty-one million, eight hundred ninety-eight thousand, two hundred forty".