3890496000 has 320 divisors, whose sum is σ = 13512635136. Its totient is φ = 991232000.

The previous prime is 3890495981. The next prime is 3890496011. The reversal of 3890496000 is 6940983.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 3890496000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4415560 + ... + 4416440.

Almost surely, 2^3890496000 is an apocalyptic number.

3890496000 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 3890496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6756317568).

3890496000 is an abundant number, since it is smaller than the sum of its proper divisors (9622139136).

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

3890496000 is an equidigital number, since it uses as much as digits as its factorization.

3890496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 3890496000 is about 62373.8406705888. The cubic root of 3890496000 is about 1572.7812547979.

The spelling of 3890496000 in words is "three billion, eight hundred ninety million, four hundred ninety-six thousand".