3331402400 has 36 divisors (see below), whose sum is σ = 8132788062. Its totient is φ = 1332560640.

The previous prime is 3331402391. The next prime is 3331402421. The reversal of 3331402400 is 42041333.

It can be written as a sum of positive squares in 3 ways, for example, as 3197676304 + 133726096 = 56548^2 + 11564^2 .

It is a super-2 number, since 2×3331402400² = 22196483901451520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2081327 + ... + 2082926.

Almost surely, 2^3331402400 is an apocalyptic number.

It is an amenable number.

3331402400 is an abundant number, since it is smaller than the sum of its proper divisors (4801385662).

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

3331402400 is a wasteful number, since it uses less digits than its factorization.

3331402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4164273 (or 4164260 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3331402400 is about 57718.3021233300. The cubic root of 3331402400 is about 1493.5130833445.

Adding to 3331402400 its reverse (42041333), we get a palindrome (3373443733).

The spelling of 3331402400 in words is "three billion, three hundred thirty-one million, four hundred two thousand, four hundred".