3711795840 has 384 divisors, whose sum is σ = 13767062400. Its totient is φ = 954519552.

The previous prime is 3711795839. The next prime is 3711795851. The reversal of 3711795840 is 485971173.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4509669 + ... + 4510491.

It is an arithmetic number, because the mean of its divisors is an integer number (35851725).

Almost surely, 2^3711795840 is an apocalyptic number.

3711795840 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 3711795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6883531200).

3711795840 is an abundant number, since it is smaller than the sum of its proper divisors (10055266560).

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

3711795840 is an equidigital number, since it uses as much as digits as its factorization.

3711795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 3711795840 is about 60924.5093537896. The cubic root of 3711795840 is about 1548.3222693020.

The spelling of 3711795840 in words is "three billion, seven hundred eleven million, seven hundred ninety-five thousand, eight hundred forty".