3331413400 has 192 divisors, whose sum is σ = 9226284480. Its totient is φ = 1094860800.

The previous prime is 3331413359. The next prime is 3331413409. The reversal of 3331413400 is 43141333.

It is a happy number.

It is a super-2 number, since 2×3331413400² = 22196630483399120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331413409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3780960 + ... + 3781840.

It is an arithmetic number, because the mean of its divisors is an integer number (48053565).

Almost surely, 2^3331413400 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 3331413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4613142240).

3331413400 is an abundant number, since it is smaller than the sum of its proper divisors (5894871080).

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

3331413400 is a wasteful number, since it uses less digits than its factorization.

3331413400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 3331413400 is about 57718.3974136497. The cubic root of 3331413400 is about 1493.5147271593.

Adding to 3331413400 its reverse (43141333), we get a palindrome (3374554733).

The spelling of 3331413400 in words is "three billion, three hundred thirty-one million, four hundred thirteen thousand, four hundred".