3377406540 has 48 divisors (see below), whose sum is σ = 9459259488. Its totient is φ = 900401664.

The previous prime is 3377406533. The next prime is 3377406559. The reversal of 3377406540 is 456047733.

It is a super-2 number, since 2×3377406540² = 22813749872869543200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442194 + ... + 449766.

It is an arithmetic number, because the mean of its divisors is an integer number (197067906).

Almost surely, 2^3377406540 is an apocalyptic number.

3377406540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3377406540 is an abundant number, since it is smaller than the sum of its proper divisors (6081852948).

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

3377406540 is a wasteful number, since it uses less digits than its factorization.

3377406540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15018 (or 15016 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 39.

The square root of 3377406540 is about 58115.4587007622. The cubic root of 3377406540 is about 1500.3564397382.

The spelling of 3377406540 in words is "three billion, three hundred seventy-seven million, four hundred six thousand, five hundred forty".