3370074960 has 240 divisors, whose sum is σ = 12384493056. Its totient is φ = 755629056.

The previous prime is 3370074947. The next prime is 3370075021. The reversal of 3370074960 is 694700733.

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

It is a super-2 number, since 2×3370074960² = 22714810472038003200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 620577 + ... + 625983.

Almost surely, 2^3370074960 is an apocalyptic number.

3370074960 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 3370074960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6192246528).

3370074960 is an abundant number, since it is smaller than the sum of its proper divisors (9014418096).

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

3370074960 is a wasteful number, since it uses less digits than its factorization.

3370074960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5490 (or 5477 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 39.

The square root of 3370074960 is about 58052.3467225917. The cubic root of 3370074960 is about 1499.2700092444.

The spelling of 3370074960 in words is "three billion, three hundred seventy million, seventy-four thousand, nine hundred sixty".