3340377000 has 96 divisors (see below), whose sum is σ = 11290504680. Its totient is φ = 890764800.

The previous prime is 3340376989. The next prime is 3340377017. The reversal of 3340377000 is 7730433.

It can be written as a sum of positive squares in 4 ways, for example, as 1983633444 + 1356743556 = 44538^2 + 36834^2 .

It is a super-2 number, since 2×3340377000² = 22316237004258000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176577 + ... + 194576.

Almost surely, 2^3340377000 is an apocalyptic number.

3340377000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3340377000 is an abundant number, since it is smaller than the sum of its proper divisors (7950127680).

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

3340377000 is a wasteful number, since it uses less digits than its factorization.

3340377000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371180 (or 371163 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 27.

The square root of 3340377000 is about 57795.9946709112. The cubic root of 3340377000 is about 1494.8530259723.

The spelling of 3340377000 in words is "three billion, three hundred forty million, three hundred seventy-seven thousand".