3399938640 has 480 divisors, whose sum is σ = 13786546176. Its totient is φ = 734469120.

The previous prime is 3399938611. The next prime is 3399938669. The reversal of 3399938640 is 468399933.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3399938611) and next prime (3399938669).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7343049 + ... + 7343511.

Almost surely, 2^3399938640 is an apocalyptic number.

3399938640 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 3399938640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6893273088).

3399938640 is an abundant number, since it is smaller than the sum of its proper divisors (10386607536).

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

3399938640 is a wasteful number, since it uses less digits than its factorization.

3399938640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The square root of 3399938640 is about 58308.9927884199. The cubic root of 3399938640 is about 1503.6855503956.

The spelling of 3399938640 in words is "three billion, three hundred ninety-nine million, nine hundred thirty-eight thousand, six hundred forty".