3890099664 has 360 divisors, whose sum is σ = 13244527296. Its totient is φ = 1059379200.

The previous prime is 3890099659. The next prime is 3890099699. The reversal of 3890099664 is 4669900983.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3890099664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6812499 + ... + 6813069.

Almost surely, 2^3890099664 is an apocalyptic number.

3890099664 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 3890099664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6622263648).

3890099664 is an abundant number, since it is smaller than the sum of its proper divisors (9354427632).

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

3890099664 is a wasteful number, since it uses less digits than its factorization.

3890099664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 3890099664 is about 62370.6634885344. The cubic root of 3890099664 is about 1572.7278450699.

The spelling of 3890099664 in words is "three billion, eight hundred ninety million, ninety-nine thousand, six hundred sixty-four".