3357342720 has 132 divisors (see below), whose sum is σ = 11633264760. Its totient is φ = 895279104.

The previous prime is 3357342713. The next prime is 3357342721. The reversal of 3357342720 is 272437533.

3357342720 is a `hidden beast` number, since 3 + 357 + 34 + 272 + 0 = 666.

It is a super-2 number, since 2×3357342720² = 22543500279073996800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3357342721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9651 + ... + 82509.

Almost surely, 2^3357342720 is an apocalyptic number.

3357342720 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 3357342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816632380).

3357342720 is an abundant number, since it is smaller than the sum of its proper divisors (8275922040).

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

3357342720 is a wasteful number, since it uses less digits than its factorization.

3357342720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72890 (or 72869 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 36.

The square root of 3357342720 is about 57942.5812334936. The cubic root of 3357342720 is about 1497.3795314288.

The spelling of 3357342720 in words is "three billion, three hundred fifty-seven million, three hundred forty-two thousand, seven hundred twenty".