3357399760 has 160 divisors (see below), whose sum is σ = 9213160320. Its totient is φ = 1121740800.

The previous prime is 3357399713. The next prime is 3357399761. The reversal of 3357399760 is 679937533.

It is a super-2 number, since 2×3357399760² = 22544266296896115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 3357399698 and 3357399707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3357399761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3076815 + ... + 3077905.

It is an arithmetic number, because the mean of its divisors is an integer number (57582252).

Almost surely, 2^3357399760 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 3357399760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4606580160).

3357399760 is an abundant number, since it is smaller than the sum of its proper divisors (5855760560).

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

3357399760 is a wasteful number, since it uses less digits than its factorization.

3357399760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 3214890, while the sum is 52.

The square root of 3357399760 is about 57943.0734428197. The cubic root of 3357399760 is about 1497.3880113539.

The spelling of 3357399760 in words is "three billion, three hundred fifty-seven million, three hundred ninety-nine thousand, seven hundred sixty".