3890733120 has 168 divisors, whose sum is σ = 13814511360. Its totient is φ = 1004037120.

The previous prime is 3890733097. The next prime is 3890733137. The reversal of 3890733120 is 213370983.

It is a happy number.

3890733120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3890733120² = 30275608422129868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67491 + ... + 111069.

Almost surely, 2^3890733120 is an apocalyptic number.

3890733120 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 3890733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6907255680).

3890733120 is an abundant number, since it is smaller than the sum of its proper divisors (9923778240).

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

3890733120 is a wasteful number, since it uses less digits than its factorization.

3890733120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43633 (or 43620 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3890733120 is about 62375.7414384791. The cubic root of 3890733120 is about 1572.8132070490.

It can be divided in two parts, 38907 and 33120, that added together give a palindrome (72027).

The spelling of 3890733120 in words is "three billion, eight hundred ninety million, seven hundred thirty-three thousand, one hundred twenty".