3362918400 has 468 divisors, whose sum is σ = 12477677940. Its totient is φ = 865075200.

The previous prime is 3362918399. The next prime is 3362918401. The reversal of 3362918400 is 48192633.

It is an interprime number because it is at equal distance from previous prime (3362918399) and next prime (3362918401).

It can be written as a sum of positive squares in 6 ways, for example, as 1040449536 + 2322468864 = 32256^2 + 48192^2 .

It is a super-2 number, since 2×3362918400² = 22618440330117120000, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (3362918401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37785556 + ... + 37785644.

It is an arithmetic number, because the mean of its divisors is an integer number (26661705).

Almost surely, 2^3362918400 is an apocalyptic number.

3362918400 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 3362918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6238838970).

3362918400 is an abundant number, since it is smaller than the sum of its proper divisors (9114759540).

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

3362918400 is a wasteful number, since it uses less digits than its factorization.

3362918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3362918400 is about 57990.6751124696. The cubic root of 3362918400 is about 1498.2079933273.

The spelling of 3362918400 in words is "three billion, three hundred sixty-two million, nine hundred eighteen thousand, four hundred".