3402042400 has 36 divisors (see below), whose sum is σ = 8305237962. Its totient is φ = 1360816640.

The previous prime is 3402042379. The next prime is 3402042409. The reversal of 3402042400 is 42402043.

It can be written as a sum of positive squares in 3 ways, for example, as 2325939984 + 1076102416 = 48228^2 + 32804^2 .

It is not an unprimeable number, because it can be changed into a prime (3402042409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2125477 + ... + 2127076.

Almost surely, 2^3402042400 is an apocalyptic number.

It is an amenable number.

3402042400 is an abundant number, since it is smaller than the sum of its proper divisors (4903195562).

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

3402042400 is a wasteful number, since it uses less digits than its factorization.

3402042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4252573 (or 4252560 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 3402042400 is about 58327.0297546515. The cubic root of 3402042400 is about 1503.9956286654.

Adding to 3402042400 its reverse (42402043), we get a palindrome (3444444443).

The spelling of 3402042400 in words is "three billion, four hundred two million, forty-two thousand, four hundred".