3890681253090 has 80 divisors (see below), whose sum is σ = 10478190381120. Its totient is φ = 1035870625440.

The previous prime is 3890681253077. The next prime is 3890681253149. The reversal of 3890681253090 is 903521860983.

3890681253090 is a `hidden beast` number, since 3 + 8 + 9 + 0 + 6 + 8 + 12 + 530 + 90 = 666.

It is a super-2 number, since 2×3890681253090² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3295000 + ... + 4317219.

It is an arithmetic number, because the mean of its divisors is an integer number (130977379764).

Almost surely, 2^{3890681253090} is an apocalyptic number.

3890681253090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3890681253090 is an abundant number, since it is smaller than the sum of its proper divisors (6587509128030).

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

3890681253090 is a wasteful number, since it uses less digits than its factorization.

3890681253090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7612869 (or 7612860 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 3890681253090 in words is "three trillion, eight hundred ninety billion, six hundred eighty-one million, two hundred fifty-three thousand, ninety".