3320766540 has 144 divisors (see below), whose sum is σ = 12397589568. Its totient is φ = 700641792.

The previous prime is 3320766497. The next prime is 3320766571. The reversal of 3320766540 is 456670233.

3320766540 is a `hidden beast` number, since 33 + 20 + 7 + 66 + 540 = 666.

3320766540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3320766540² = 22054980826367143200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3320766495 and 3320766504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84987 + ... + 117746.

It is an arithmetic number, because the mean of its divisors is an integer number (86094372).

Almost surely, 2^3320766540 is an apocalyptic number.

3320766540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3320766540 is an abundant number, since it is smaller than the sum of its proper divisors (9076823028).

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

3320766540 is a wasteful number, since it uses less digits than its factorization.

3320766540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202768 (or 202763 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 3320766540 is about 57626.0925276042. The cubic root of 3320766540 is about 1491.9219885802.

The spelling of 3320766540 in words is "three billion, three hundred twenty million, seven hundred sixty-six thousand, five hundred forty".