3790120457088 has 512 divisors, whose sum is σ = 13111014067200. Its totient is φ = 1055264440320.

The previous prime is 3790120457063. The next prime is 3790120457089. The reversal of 3790120457088 is 8807540210973.

It is a happy number.

3790120457088 is a `hidden beast` number, since 3 + 7 + 90 + 1 + 20 + 457 + 0 + 88 = 666.

It is a super-3 number, since 3×3790120457088³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3790120457089) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1183301695 + ... + 1183304897.

It is an arithmetic number, because the mean of its divisors is an integer number (25607449350).

Almost surely, 2^{3790120457088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3790120457088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6555507033600).

3790120457088 is an abundant number, since it is smaller than the sum of its proper divisors (9320893610112).

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

3790120457088 is a wasteful number, since it uses less digits than its factorization.

3790120457088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4467 (or 4449 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 3790120457088 in words is "three trillion, seven hundred ninety billion, one hundred twenty million, four hundred fifty-seven thousand, eighty-eight".