3371406400 has 84 divisors (see below), whose sum is σ = 8488864912. Its totient is φ = 1317173760.

The previous prime is 3371406371. The next prime is 3371406407. The reversal of 3371406400 is 46041733.

It is a super-2 number, since 2×3371406400² = 22732762227921920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3371406407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44299 + ... + 93301.

Almost surely, 2^3371406400 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 3371406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4244432456).

3371406400 is an abundant number, since it is smaller than the sum of its proper divisors (5117458512).

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

3371406400 is a wasteful number, since it uses less digits than its factorization.

3371406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49068 (or 49053 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 3371406400 is about 58063.8131713721. The cubic root of 3371406400 is about 1499.4674257470.

The spelling of 3371406400 in words is "three billion, three hundred seventy-one million, four hundred six thousand, four hundred".