3390266880 has 1280 divisors, whose sum is σ = 16498944000. Its totient is φ = 650280960.

The previous prime is 3390266879. The next prime is 3390266897. The reversal of 3390266880 is 886620933.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×3390266880² = 22987819035249868800, 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 127 ways as a sum of consecutive naturals, for example, 260789754 + ... + 260789766.

It is an arithmetic number, because the mean of its divisors is an integer number (12889800).

Almost surely, 2^3390266880 is an apocalyptic number.

3390266880 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 3390266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8249472000).

3390266880 is an abundant number, since it is smaller than the sum of its proper divisors (13108677120).

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

3390266880 is a wasteful number, since it uses less digits than its factorization.

3390266880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3390266880 is about 58225.9983169031. The cubic root of 3390266880 is about 1502.2583581725.

The spelling of 3390266880 in words is "three billion, three hundred ninety million, two hundred sixty-six thousand, eight hundred eighty".