3364100400 has 120 divisors (see below), whose sum is σ = 10872138960. Its totient is φ = 889118720.

The previous prime is 3364100357. The next prime is 3364100413. The reversal of 3364100400 is 40014633.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3364100400² = 22634343002560320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123196 + ... + 148004.

It is an arithmetic number, because the mean of its divisors is an integer number (90601158).

Almost surely, 2^3364100400 is an apocalyptic number.

3364100400 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 3364100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5436069480).

3364100400 is an abundant number, since it is smaller than the sum of its proper divisors (7508038560).

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

3364100400 is a wasteful number, since it uses less digits than its factorization.

3364100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24943 (or 24932 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3364100400 is about 58000.8655107835. The cubic root of 3364100400 is about 1498.3835030286.

The spelling of 3364100400 in words is "three billion, three hundred sixty-four million, one hundred thousand, four hundred".