3370369680 has 120 divisors (see below), whose sum is σ = 11984681592. Its totient is φ = 845893632.

The previous prime is 3370369657. The next prime is 3370369727. The reversal of 3370369680 is 869630733.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1055990016 + 2314379664 = 32496^2 + 48108^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3370369680² = 22718783559726604800, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125439 + ... + 149918.

Almost surely, 2^3370369680 is an apocalyptic number.

3370369680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3370369680 is an abundant number, since it is smaller than the sum of its proper divisors (8614311912).

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

3370369680 is a wasteful number, since it uses less digits than its factorization.

3370369680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275393 (or 275384 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3370369680 is about 58054.8850657720. The cubic root of 3370369680 is about 1499.3137127211.

The spelling of 3370369680 in words is "three billion, three hundred seventy million, three hundred sixty-nine thousand, six hundred eighty".