3423561292800 has 2376 divisors, whose sum is σ = 14837652807120. Its totient is φ = 773967052800.

The previous prime is 3423561292703. The next prime is 3423561292849. The reversal of 3423561292800 is 82921653243.

3423561292800 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 5 + 612 + 9 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2376).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 215 ways as a sum of consecutive naturals, for example, 31408819146 + ... + 31408819254.

It is an arithmetic number, because the mean of its divisors is an integer number (6244803370).

Almost surely, 2^{3423561292800} is an apocalyptic number.

3423561292800 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 3423561292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7418826403560).

3423561292800 is an abundant number, since it is smaller than the sum of its proper divisors (11414091514320).

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

3423561292800 is a wasteful number, since it uses less digits than its factorization.

3423561292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3423561292800 in words is "three trillion, four hundred twenty-three billion, five hundred sixty-one million, two hundred ninety-two thousand, eight hundred".