3827790720 has 768 divisors, whose sum is σ = 15718510080. Its totient is φ = 849346560.

The previous prime is 3827790683. The next prime is 3827790773. The reversal of 3827790720 is 270977283.

It is a super-2 number, since 2×3827790720² = 29303963592236236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39461712 + ... + 39461808.

It is an arithmetic number, because the mean of its divisors is an integer number (20466810).

Almost surely, 2^3827790720 is an apocalyptic number.

3827790720 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 3827790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7859255040).

3827790720 is an abundant number, since it is smaller than the sum of its proper divisors (11890719360).

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

3827790720 is a wasteful number, since it uses less digits than its factorization.

3827790720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 3827790720 is about 61869.1419045068. The cubic root of 3827790720 is about 1564.2856515204.

The spelling of 3827790720 in words is "three billion, eight hundred twenty-seven million, seven hundred ninety thousand, seven hundred twenty".