3791919360 has 288 divisors, whose sum is σ = 13271610240. Its totient is φ = 918421504.

The previous prime is 3791919347. The next prime is 3791919379. The reversal of 3791919360 is 639191973.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1892119 + ... + 1894121.

It is an arithmetic number, because the mean of its divisors is an integer number (46081980).

Almost surely, 2^3791919360 is an apocalyptic number.

3791919360 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 3791919360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6635805120).

3791919360 is an abundant number, since it is smaller than the sum of its proper divisors (9479690880).

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

3791919360 is a wasteful number, since it uses less digits than its factorization.

3791919360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 275562, while the sum is 48.

The square root of 3791919360 is about 61578.5625035207. The cubic root of 3791919360 is about 1559.3838460843.

The spelling of 3791919360 in words is "three billion, seven hundred ninety-one million, nine hundred nineteen thousand, three hundred sixty".