3428394372900 has 648 divisors, whose sum is σ = 13317310450080. Its totient is φ = 733429831680.

The previous prime is 3428394372869. The next prime is 3428394372917. The reversal of 3428394372900 is 92734938243.

3428394372900 is a `hidden beast` number, since 3 + 42 + 83 + 9 + 437 + 2 + 90 + 0 = 666.

3428394372900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3428394372900² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 69521052 + ... + 69570348.

Almost surely, 2^{3428394372900} is an apocalyptic number.

3428394372900 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 3428394372900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6658655225040).

3428394372900 is an abundant number, since it is smaller than the sum of its proper divisors (9888916077180).

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

3428394372900 is a wasteful number, since it uses less digits than its factorization.

3428394372900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49433 (or 49416 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 3428394372900 in words is "three trillion, four hundred twenty-eight billion, three hundred ninety-four million, three hundred seventy-two thousand, nine hundred".