3356152800 has 864 divisors, whose sum is σ = 14895046656. Its totient is φ = 638668800.

The previous prime is 3356152769. The next prime is 3356152823. The reversal of 3356152800 is 82516533.

It is a super-2 number, since 2×3356152800² = 22527523233895680000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26426337 + ... + 26426463.

Almost surely, 2^3356152800 is an apocalyptic number.

3356152800 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 3356152800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7447523328).

3356152800 is an abundant number, since it is smaller than the sum of its proper divisors (11538893856).

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

3356152800 is a wasteful number, since it uses less digits than its factorization.

3356152800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 3356152800 is about 57932.3122272881. The cubic root of 3356152800 is about 1497.2026085326.

The spelling of 3356152800 in words is "three billion, three hundred fifty-six million, one hundred fifty-two thousand, eight hundred".