3366170400 has 72 divisors (see below), whose sum is σ = 10956892464. Its totient is φ = 897644800.

The previous prime is 3366170387. The next prime is 3366170407. The reversal of 3366170400 is 40716633.

It is a super-2 number, since 2×3366170400² = 22662206323672320000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) 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 (30).

It is not an unprimeable number, because it can be changed into a prime (3366170407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 698886 + ... + 703685.

It is an arithmetic number, because the mean of its divisors is an integer number (152179062).

Almost surely, 2^3366170400 is an apocalyptic number.

3366170400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3366170400 is an abundant number, since it is smaller than the sum of its proper divisors (7590722064).

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

3366170400 is a wasteful number, since it uses less digits than its factorization.

3366170400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402594 (or 1402581 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 3366170400 is about 58018.7073278955. The cubic root of 3366170400 is about 1498.6907687192.

The spelling of 3366170400 in words is "three billion, three hundred sixty-six million, one hundred seventy thousand, four hundred".