3398643360 has 240 divisors, whose sum is σ = 13708227456. Its totient is φ = 776812032.

The previous prime is 3398643359. The next prime is 3398643361. The reversal of 3398643360 is 633468933.

It is an interprime number because it is at equal distance from previous prime (3398643359) and next prime (3398643361).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (3398643361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71989 + ... + 109451.

Almost surely, 2^3398643360 is an apocalyptic number.

3398643360 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 3398643360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6854113728).

3398643360 is an abundant number, since it is smaller than the sum of its proper divisors (10309584096).

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

3398643360 is a wasteful number, since it uses less digits than its factorization.

3398643360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37497 (or 37480 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The square root of 3398643360 is about 58297.8846957589. The cubic root of 3398643360 is about 1503.4945723205.

The spelling of 3398643360 in words is "three billion, three hundred ninety-eight million, six hundred forty-three thousand, three hundred sixty".