3402016400 has 60 divisors (see below), whose sum is σ = 8181850212. Its totient is φ = 1359390720.

The previous prime is 3402016381. The next prime is 3402016403. The reversal of 3402016400 is 46102043.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 37552384 + 3364464016 = 6128^2 + 58004^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3402016403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 434924 + ... + 442676.

Almost surely, 2^3402016400 is an apocalyptic number.

It is an amenable number.

3402016400 is an abundant number, since it is smaller than the sum of its proper divisors (4779833812).

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

3402016400 is a wasteful number, since it uses less digits than its factorization.

3402016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8868 (or 8857 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3402016400 is about 58326.8068729979. The cubic root of 3402016400 is about 1503.9917972429.

Adding to 3402016400 its reverse (46102043), we get a palindrome (3448118443).

The spelling of 3402016400 in words is "three billion, four hundred two million, sixteen thousand, four hundred".