3390753960 has 504 divisors, whose sum is σ = 12991627530. Its totient is φ = 795484800.

The previous prime is 3390753959. The next prime is 3390754009. The reversal of 3390753960 is 693570933.

It can be written as a sum of positive squares in only one way, i.e., 3051678564 + 339075396 = 55242^2 + 18414^2 .

It is a super-2 number, since 2×3390753960² = 22994424834511363200, 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 125 ways as a sum of consecutive naturals, for example, 109379145 + ... + 109379175.

Almost surely, 2^3390753960 is an apocalyptic number.

3390753960 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 3390753960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6495813765).

3390753960 is an abundant number, since it is smaller than the sum of its proper divisors (9600873570).

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

3390753960 is a wasteful number, since it uses less digits than its factorization.

3390753960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 45.

The square root of 3390753960 is about 58230.1808343405. The cubic root of 3390753960 is about 1502.3302979330.

The spelling of 3390753960 in words is "three billion, three hundred ninety million, seven hundred fifty-three thousand, nine hundred sixty".