3390993540 has 108 divisors (see below), whose sum is σ = 11306186892. Its totient is φ = 822053760.

The previous prime is 3390993533. The next prime is 3390993581. The reversal of 3390993540 is 453990933.

It can be written as a sum of positive squares in 2 ways, for example, as 1400406084 + 1990587456 = 37422^2 + 44616^2 .

It is a super-2 number, since 2×3390993540² = 22997674376643463200, 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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56067 + ... + 99626.

Almost surely, 2^3390993540 is an apocalyptic number.

3390993540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3390993540 is an abundant number, since it is smaller than the sum of its proper divisors (7915193352).

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

3390993540 is a wasteful number, since it uses less digits than its factorization.

3390993540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155730 (or 155714 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 45.

The square root of 3390993540 is about 58232.2379786317. The cubic root of 3390993540 is about 1502.3656804094.

It can be divided in two parts, 33909 and 93540, that added together give a square (127449 = 357²).

The spelling of 3390993540 in words is "three billion, three hundred ninety million, nine hundred ninety-three thousand, five hundred forty".