3355360005504 has 192 divisors, whose sum is σ = 9653712492240. Its totient is φ = 1032128667648.

The previous prime is 3355360005479. The next prime is 3355360005521. The reversal of 3355360005504 is 4055000635533.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3355360005504² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407348074 + ... + 407356310.

Almost surely, 2^{3355360005504} 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 3355360005504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826856246120).

3355360005504 is an abundant number, since it is smaller than the sum of its proper divisors (6298352486736).

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

3355360005504 is a wasteful number, since it uses less digits than its factorization.

3355360005504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14557 (or 14532 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 39.

The spelling of 3355360005504 in words is "three trillion, three hundred fifty-five billion, three hundred sixty million, five thousand, five hundred four".