3370990080 has 160 divisors (see below), whose sum is σ = 11068827264. Its totient is φ = 874561536.

The previous prime is 3370990069. The next prime is 3370990093. The reversal of 3370990080 is 800990733.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×3370990080² = 22727148238916812800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278229 + ... + 290091.

Almost surely, 2^3370990080 is an apocalyptic number.

3370990080 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 3370990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5534413632).

3370990080 is an abundant number, since it is smaller than the sum of its proper divisors (7697837184).

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

3370990080 is a wasteful number, since it uses less digits than its factorization.

3370990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11926 (or 11910 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 3370990080 is about 58060.2280395108. The cubic root of 3370990080 is about 1499.4057023491.

The spelling of 3370990080 in words is "three billion, three hundred seventy million, nine hundred ninety thousand, eighty".