3590386140096 has 1120 divisors, whose sum is σ = 13418710272000. Its totient is φ = 926037245952.

The previous prime is 3590386140059. The next prime is 3590386140149. The reversal of 3590386140096 is 6900416830953.

3590386140096 is a `hidden beast` number, since 3 + 5 + 90 + 3 + 8 + 61 + 400 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1579579216 + ... + 1579581488.

Almost surely, 2^{3590386140096} is an apocalyptic number.

3590386140096 is a gapful number since it is divisible by the number (36) 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 3590386140096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709355136000).

3590386140096 is an abundant number, since it is smaller than the sum of its proper divisors (9828324131904).

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

3590386140096 is a wasteful number, since it uses less digits than its factorization.

3590386140096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 3590386140096 in words is "three trillion, five hundred ninety billion, three hundred eighty-six million, one hundred forty thousand, ninety-six".