3334674960 has 160 divisors (see below), whose sum is σ = 11856860160. Its totient is φ = 860544000.

The previous prime is 3334674949. The next prime is 3334674979. The reversal of 3334674960 is 694764333.

It is a super-2 number, since 2×3334674960² = 22240114177702003200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42060 + ... + 91860.

It is an arithmetic number, because the mean of its divisors is an integer number (74105376).

Almost surely, 2^3334674960 is an apocalyptic number.

3334674960 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 3334674960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928430080).

3334674960 is an abundant number, since it is smaller than the sum of its proper divisors (8522185200).

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

3334674960 is a wasteful number, since it uses less digits than its factorization.

3334674960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49854 (or 49842 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The square root of 3334674960 is about 57746.6445778454. The cubic root of 3334674960 is about 1494.0019677076.

The spelling of 3334674960 in words is "three billion, three hundred thirty-four million, six hundred seventy-four thousand, nine hundred sixty".