3360666624 has 352 divisors, whose sum is σ = 11248346880. Its totient is φ = 869793792.

The previous prime is 3360666623. The next prime is 3360666637. The reversal of 3360666624 is 4266660633.

It is a super-2 number, since 2×3360666624² = 22588160315335114752, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3360666623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10601314 + ... + 10601630.

Almost surely, 2^3360666624 is an apocalyptic number.

3360666624 is a gapful number since it is divisible by the number (34) 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 3360666624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624173440).

3360666624 is an abundant number, since it is smaller than the sum of its proper divisors (7887680256).

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

3360666624 is a wasteful number, since it uses less digits than its factorization.

3360666624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 42.

The square root of 3360666624 is about 57971.2568778701. The cubic root of 3360666624 is about 1497.8735237125.

The spelling of 3360666624 in words is "three billion, three hundred sixty million, six hundred sixty-six thousand, six hundred twenty-four".