3402299600 has 240 divisors, whose sum is σ = 10155540480. Its totient is φ = 1068940800.

The previous prime is 3402299599. The next prime is 3402299603. The reversal of 3402299600 is 69922043.

3402299600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402299603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1648169 + ... + 1650231.

It is an arithmetic number, because the mean of its divisors is an integer number (42314752).

Almost surely, 2^3402299600 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 3402299600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5077770240).

3402299600 is an abundant number, since it is smaller than the sum of its proper divisors (6753240880).

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

3402299600 is a wasteful number, since it uses less digits than its factorization.

3402299600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 3402299600 is about 58329.2345226645. The cubic root of 3402299600 is about 1504.0335292246.

The spelling of 3402299600 in words is "three billion, four hundred two million, two hundred ninety-nine thousand, six hundred".