3356757661600 has 216 divisors, whose sum is σ = 9574244982540. Its totient is φ = 1145859563520.

The previous prime is 3356757661553. The next prime is 3356757661651. The reversal of 3356757661600 is 61667576533.

It can be written as a sum of positive squares in 6 ways, for example, as 2128996155664 + 1227761505936 = 1459108^2 + 1108044^2 .

It is a super-2 number, since 2×3356757661600² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8789832 + ... + 9163768.

Almost surely, 2^{3356757661600} 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 3356757661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787122491270).

3356757661600 is an abundant number, since it is smaller than the sum of its proper divisors (6217487320940).

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

3356757661600 is a wasteful number, since it uses less digits than its factorization.

3356757661600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374200 (or 374180 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 55.

The spelling of 3356757661600 in words is "three trillion, three hundred fifty-six billion, seven hundred fifty-seven million, six hundred sixty-one thousand, six hundred".