3590198900064 has 1152 divisors, whose sum is σ = 13364736860160. Its totient is φ = 914374656000.

The previous prime is 3590198899999. The next prime is 3590198900083. The reversal of 3590198900064 is 4600098910953.

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 191 ways as a sum of consecutive naturals, for example, 8953114264 + ... + 8953114664.

It is an arithmetic number, because the mean of its divisors is an integer number (11601334080).

Almost surely, 2^{3590198900064} is an apocalyptic number.

3590198900064 is a gapful number since it is divisible by the number (34) 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 3590198900064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6682368430080).

3590198900064 is an abundant number, since it is smaller than the sum of its proper divisors (9774537960096).

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

3590198900064 is a wasteful number, since it uses less digits than its factorization.

3590198900064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 3590198900064 in words is "three trillion, five hundred ninety billion, one hundred ninety-eight million, nine hundred thousand, sixty-four".