3442202400 has 288 divisors, whose sum is σ = 13790867328. Its totient is φ = 726220800.

The previous prime is 3442202371. The next prime is 3442202411. The reversal of 3442202400 is 42022443.

3442202400 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 (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210520 + ... + 226280.

It is an arithmetic number, because the mean of its divisors is an integer number (47884956).

Almost surely, 2^3442202400 is an apocalyptic number.

3442202400 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 3442202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6895433664).

3442202400 is an abundant number, since it is smaller than the sum of its proper divisors (10348664928).

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

3442202400 is a wasteful number, since it uses less digits than its factorization.

3442202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15804 (or 15791 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 3442202400 is about 58670.2854944477. The cubic root of 3442202400 is about 1509.8905524228.

Adding to 3442202400 its reverse (42022443), we get a palindrome (3484224843).

The spelling of 3442202400 in words is "three billion, four hundred forty-two million, two hundred two thousand, four hundred".