3893427720 has 384 divisors, whose sum is σ = 16492170240. Its totient is φ = 773038080.

The previous prime is 3893427719. The next prime is 3893427757. The reversal of 3893427720 is 277243983.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 553425 + ... + 560415.

It is an arithmetic number, because the mean of its divisors is an integer number (42948360).

Almost surely, 2^3893427720 is an apocalyptic number.

3893427720 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 3893427720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8246085120).

3893427720 is an abundant number, since it is smaller than the sum of its proper divisors (12598742520).

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

3893427720 is a wasteful number, since it uses less digits than its factorization.

3893427720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7045 (or 7038 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3893427720 is about 62397.3374431954. The cubic root of 3893427720 is about 1573.1762169943.

The spelling of 3893427720 in words is "three billion, eight hundred ninety-three million, four hundred twenty-seven thousand, seven hundred twenty".