3715926144 has 128 divisors (see below), whose sum is σ = 11299706880. Its totient is φ = 1059886080.

The previous prime is 3715926127. The next prime is 3715926167. The reversal of 3715926144 is 4416295173.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3715926096 and 3715926105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3018009 + ... + 3019239.

It is an arithmetic number, because the mean of its divisors is an integer number (88278960).

Almost surely, 2^3715926144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3715926144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5649853440).

3715926144 is an abundant number, since it is smaller than the sum of its proper divisors (7583780736).

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

3715926144 is a wasteful number, since it uses less digits than its factorization.

3715926144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2366 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 3715926144 is about 60958.3968293130. The cubic root of 3715926144 is about 1548.8963553934.

The spelling of 3715926144 in words is "three billion, seven hundred fifteen million, nine hundred twenty-six thousand, one hundred forty-four".