3827734080 has 112 divisors (see below), whose sum is σ = 12198729984. Its totient is φ = 1016893440.

The previous prime is 3827734073. The next prime is 3827734087. The reversal of 3827734080 is 804377283.

It is an interprime number because it is at equal distance from previous prime (3827734073) and next prime (3827734087).

It is not an unprimeable number, because it can be changed into a prime (3827734087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252804 + ... + 267516.

It is an arithmetic number, because the mean of its divisors is an integer number (108917232).

Almost surely, 2^3827734080 is an apocalyptic number.

3827734080 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 3827734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6099364992).

3827734080 is an abundant number, since it is smaller than the sum of its proper divisors (8370995904).

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

3827734080 is a wasteful number, since it uses less digits than its factorization.

3827734080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15004 (or 14994 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 3827734080 is about 61868.6841625066. The cubic root of 3827734080 is about 1564.2779358795.

The spelling of 3827734080 in words is "three billion, eight hundred twenty-seven million, seven hundred thirty-four thousand, eighty".