3500137484536 has 384 divisors, whose sum is σ = 9213613516800. Its totient is φ = 1206916381440.

The previous prime is 3500137484509. The next prime is 3500137484561. The reversal of 3500137484536 is 6354847310053.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3500137484536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 266224315 + ... + 266237461.

It is an arithmetic number, because the mean of its divisors is an integer number (23993785200).

Almost surely, 2^{3500137484536} 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 3500137484536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4606806758400).

3500137484536 is an abundant number, since it is smaller than the sum of its proper divisors (5713476032264).

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

3500137484536 is a wasteful number, since it uses less digits than its factorization.

3500137484536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13279 (or 13252 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 49.

The spelling of 3500137484536 in words is "three trillion, five hundred billion, one hundred thirty-seven million, four hundred eighty-four thousand, five hundred thirty-six".