3350972800 has 384 divisors, whose sum is σ = 10017216000. Its totient is φ = 1106380800.

The previous prime is 3350972797. The next prime is 3350972813. The reversal of 3350972800 is 82790533.

3350972800 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-4 number, since 4×3350972800⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3350972800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47196765 + ... + 47196835.

It is an arithmetic number, because the mean of its divisors is an integer number (26086500).

Almost surely, 2^3350972800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3350972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5008608000).

3350972800 is an abundant number, since it is smaller than the sum of its proper divisors (6666243200).

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

3350972800 is an equidigital number, since it uses as much as digits as its factorization.

3350972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 3350972800 is about 57887.5876159993. The cubic root of 3350972800 is about 1496.4319341486.

The spelling of 3350972800 in words is "three billion, three hundred fifty million, nine hundred seventy-two thousand, eight hundred".