3385986624 has 280 divisors, whose sum is σ = 10464312320. Its totient is φ = 1081672704.

The previous prime is 3385986619. The next prime is 3385986641. The reversal of 3385986624 is 4266895833.

3385986624 is a `hidden beast` number, since 3 + 3 + 8 + 5 + 9 + 8 + 6 + 624 = 666.

It is a super-2 number, since 2×3385986624² = 22929810835813834752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24359547 + ... + 24359685.

It is an arithmetic number, because the mean of its divisors is an integer number (37372544).

Almost surely, 2^3385986624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3385986624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232156160).

3385986624 is an abundant number, since it is smaller than the sum of its proper divisors (7078325696).

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

3385986624 is a wasteful number, since it uses less digits than its factorization.

3385986624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 308 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 3385986624 is about 58189.2311686621. The cubic root of 3385986624 is about 1501.6258850285.

The spelling of 3385986624 in words is "three billion, three hundred eighty-five million, nine hundred eighty-six thousand, six hundred twenty-four".