3361465800 has 576 divisors, whose sum is σ = 14299084800. Its totient is φ = 687398400.

The previous prime is 3361465787. The next prime is 3361465829. The reversal of 3361465800 is 85641633.

3361465800 is a `hidden beast` number, since 3 + 36 + 1 + 46 + 580 + 0 = 666.

3361465800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3361465800² = 22598904649139280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10949247 + ... + 10949553.

It is an arithmetic number, because the mean of its divisors is an integer number (24824800).

Almost surely, 2^3361465800 is an apocalyptic number.

3361465800 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 3361465800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7149542400).

3361465800 is an abundant number, since it is smaller than the sum of its proper divisors (10937619000).

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

3361465800 is a wasteful number, since it uses less digits than its factorization.

3361465800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3361465800 is about 57978.1493323131. The cubic root of 3361465800 is about 1497.9922471514.

The spelling of 3361465800 in words is "three billion, three hundred sixty-one million, four hundred sixty-five thousand, eight hundred".