3402921568200 has 384 divisors, whose sum is σ = 13299863040000. Its totient is φ = 699154790400.

The previous prime is 3402921568181. The next prime is 3402921568223. The reversal of 3402921568200 is 28651292043.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 3698001 + ... + 4525599.

It is an arithmetic number, because the mean of its divisors is an integer number (34635060000).

Almost surely, 2^{3402921568200} is an apocalyptic number.

3402921568200 is a gapful number since it is divisible by the number (30) 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 3402921568200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6649931520000).

3402921568200 is an abundant number, since it is smaller than the sum of its proper divisors (9896941471800).

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

3402921568200 is a wasteful number, since it uses less digits than its factorization.

3402921568200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827725 (or 827716 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 3402921568200 in words is "three trillion, four hundred two billion, nine hundred twenty-one million, five hundred sixty-eight thousand, two hundred".