3334970880 has 280 divisors, whose sum is σ = 11995395192. Its totient is φ = 888827904.

The previous prime is 3334970879. The next prime is 3334970897. The reversal of 3334970880 is 880794333.

It is a happy number.

It is a super-2 number, since 2×3334970880² = 22244061540895948800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1865347 + ... + 1867133.

Almost surely, 2^3334970880 is an apocalyptic number.

3334970880 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 3334970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5997697596).

3334970880 is an abundant number, since it is smaller than the sum of its proper divisors (8660424312).

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

3334970880 is an frugal number, since it uses more digits than its factorization.

3334970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3334970880 is about 57749.2067477987. The cubic root of 3334970880 is about 1494.0461591196.

The spelling of 3334970880 in words is "three billion, three hundred thirty-four million, nine hundred seventy thousand, eight hundred eighty".