3396637440 has 432 divisors, whose sum is σ = 13638451008. Its totient is φ = 764411904.

The previous prime is 3396637411. The next prime is 3396637459. The reversal of 3396637440 is 447366933.

3396637440 is a `hidden beast` number, since 3 + 3 + 9 + 6 + 637 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5886432 + ... + 5887008.

Almost surely, 2^3396637440 is an apocalyptic number.

3396637440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3396637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6819225504).

3396637440 is an abundant number, since it is smaller than the sum of its proper divisors (10241813568).

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

3396637440 is a wasteful number, since it uses less digits than its factorization.

3396637440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The square root of 3396637440 is about 58280.6781017517. The cubic root of 3396637440 is about 1503.1987206089.

The spelling of 3396637440 in words is "three billion, three hundred ninety-six million, six hundred thirty-seven thousand, four hundred forty".