3370242400 has 144 divisors (see below), whose sum is σ = 9495892224. Its totient is φ = 1144097280.

The previous prime is 3370242397. The next prime is 3370242431. The reversal of 3370242400 is 42420733.

It is a super-2 number, since 2×3370242400² = 22717067669515520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 573879 + ... + 579721.

It is an arithmetic number, because the mean of its divisors is an integer number (65943696).

Almost surely, 2^3370242400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3370242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4747946112).

3370242400 is an abundant number, since it is smaller than the sum of its proper divisors (6125649824).

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

3370242400 is a wasteful number, since it uses less digits than its factorization.

3370242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5973 (or 5960 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 25.

The square root of 3370242400 is about 58053.7888513747. The cubic root of 3370242400 is about 1499.2948389209.

The spelling of 3370242400 in words is "three billion, three hundred seventy million, two hundred forty-two thousand, four hundred".