3299586872400 has 2880 divisors, whose sum is σ = 15608534323200. Its totient is φ = 663896217600.

The previous prime is 3299586872371. The next prime is 3299586872443. The reversal of 3299586872400 is 42786859923.

3299586872400 is a `hidden beast` number, since 3 + 2 + 9 + 9 + 586 + 8 + 7 + 2 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 9968540235 + ... + 9968540565.

Almost surely, 2^{3299586872400} is an apocalyptic number.

3299586872400 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 3299586872400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7804267161600).

3299586872400 is an abundant number, since it is smaller than the sum of its proper divisors (12308947450800).

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

3299586872400 is a wasteful number, since it uses less digits than its factorization.

3299586872400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 3299586872400 in words is "three trillion, two hundred ninety-nine billion, five hundred eighty-six million, eight hundred seventy-two thousand, four hundred".