3506674603600 has 240 divisors, whose sum is σ = 10371050496000. Its totient is φ = 1112917132800.

The previous prime is 3506674603529. The next prime is 3506674603637. The reversal of 3506674603600 is 63064766053.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1118151 + ... + 2874649.

It is an arithmetic number, because the mean of its divisors is an integer number (43212710400).

Almost surely, 2^{3506674603600} 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 3506674603600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5185525248000).

3506674603600 is an abundant number, since it is smaller than the sum of its proper divisors (6864375892400).

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

3506674603600 is a wasteful number, since it uses less digits than its factorization.

3506674603600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756578 (or 1756567 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 46.

The spelling of 3506674603600 in words is "three trillion, five hundred six billion, six hundred seventy-four million, six hundred three thousand, six hundred".