3914127360 has 864 divisors, whose sum is σ = 16652759760. Its totient is φ = 875888640.

The previous prime is 3914127247. The next prime is 3914127397. The reversal of 3914127360 is 637214193.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 301086714 + ... + 301086726.

Almost surely, 2^3914127360 is an apocalyptic number.

3914127360 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 3914127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8326379880).

3914127360 is an abundant number, since it is smaller than the sum of its proper divisors (12738632400).

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

3914127360 is a wasteful number, since it uses less digits than its factorization.

3914127360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3914127360 is about 62562.9871409606. The cubic root of 3914127360 is about 1575.9592523843.

The spelling of 3914127360 in words is "three billion, nine hundred fourteen million, one hundred twenty-seven thousand, three hundred sixty".