3362342400 has 720 divisors, whose sum is σ = 13298148864. Its totient is φ = 839393280.

The previous prime is 3362342383. The next prime is 3362342413. The reversal of 3362342400 is 42432633.

It is a happy number.

3362342400 is a `hidden beast` number, since 33 + 623 + 4 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3362342400² = 22610692829675520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71539177 + ... + 71539223.

Almost surely, 2^3362342400 is an apocalyptic number.

3362342400 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 3362342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6649074432).

3362342400 is an abundant number, since it is smaller than the sum of its proper divisors (9935806464).

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

3362342400 is an equidigital number, since it uses as much as digits as its factorization.

3362342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3362342400 is about 57985.7085840985. The cubic root of 3362342400 is about 1498.1224508534.

The spelling of 3362342400 in words is "three billion, three hundred sixty-two million, three hundred forty-two thousand, four hundred".