3398407672 has 64 divisors (see below), whose sum is σ = 7313574240. Its totient is φ = 1466265600.

The previous prime is 3398407667. The next prime is 3398407679. The reversal of 3398407672 is 2767048933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3398407679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120768 + ... + 146224.

Almost surely, 2^3398407672 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 3398407672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656787120).

3398407672 is an abundant number, since it is smaller than the sum of its proper divisors (3915166568).

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

3398407672 is a wasteful number, since it uses less digits than its factorization.

3398407672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25552 (or 25548 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 49.

The square root of 3398407672 is about 58295.8632494622. The cubic root of 3398407672 is about 1503.4598169017.

The spelling of 3398407672 in words is "three billion, three hundred ninety-eight million, four hundred seven thousand, six hundred seventy-two".