3390765840 has 1280 divisors, whose sum is σ = 16284672000. Its totient is φ = 627056640.

The previous prime is 3390765827. The next prime is 3390765863. The reversal of 3390765840 is 485670933.

It is a super-2 number, since 2×3390765840² = 22994585963421811200, 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 255 ways as a sum of consecutive naturals, for example, 91642302 + ... + 91642338.

It is an arithmetic number, because the mean of its divisors is an integer number (12722400).

Almost surely, 2^3390765840 is an apocalyptic number.

3390765840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3390765840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8142336000).

3390765840 is an abundant number, since it is smaller than the sum of its proper divisors (12893906160).

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

3390765840 is a wasteful number, since it uses less digits than its factorization.

3390765840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3390765840 is about 58230.2828432080. The cubic root of 3390765840 is about 1502.3320524752.

The spelling of 3390765840 in words is "three billion, three hundred ninety million, seven hundred sixty-five thousand, eight hundred forty".