3790116897840 has 1120 divisors, whose sum is σ = 16373458281600. Its totient is φ = 794140360704.

The previous prime is 3790116897797. The next prime is 3790116897871. The reversal of 3790116897840 is 487986110973.

3790116897840 is a `hidden beast` number, since 379 + 0 + 116 + 89 + 78 + 4 + 0 = 666.

It is a super-3 number, since 3×3790116897840³ (a number of 39 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 790758484 + ... + 790763276.

It is an arithmetic number, because the mean of its divisors is an integer number (14619159180).

Almost surely, 2^{3790116897840} is an apocalyptic number.

3790116897840 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 3790116897840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8186729140800).

3790116897840 is an abundant number, since it is smaller than the sum of its proper divisors (12583341383760).

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

3790116897840 is a wasteful number, since it uses less digits than its factorization.

3790116897840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4993 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 3790116897840 in words is "three trillion, seven hundred ninety billion, one hundred sixteen million, eight hundred ninety-seven thousand, eight hundred forty".