3344400700 has 72 divisors (see below), whose sum is σ = 7421712480. Its totient is φ = 1307654400.

The previous prime is 3344400679. The next prime is 3344400707. The reversal of 3344400700 is 70044433.

3344400700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3344400700² = 22370032084320980000, 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 not an unprimeable number, because it can be changed into a prime (3344400707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1647286 + ... + 1649314.

It is an arithmetic number, because the mean of its divisors is an integer number (103079340).

Almost surely, 2^3344400700 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 3344400700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710856240).

3344400700 is an abundant number, since it is smaller than the sum of its proper divisors (4077311780).

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

3344400700 is a wasteful number, since it uses less digits than its factorization.

3344400700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2400 counting only the distinct ones).

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

The square root of 3344400700 is about 57830.7937002424. The cubic root of 3344400700 is about 1495.4530008302.

The spelling of 3344400700 in words is "three billion, three hundred forty-four million, four hundred thousand, seven hundred".