3914961456 has 160 divisors (see below), whose sum is σ = 11810244096. Its totient is φ = 1094400000.

The previous prime is 3914961443. The next prime is 3914961493. The reversal of 3914961456 is 6541694193.

It is a happy number.

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, 5144116 + ... + 5144876.

Almost surely, 2^3914961456 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 3914961456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905122048).

3914961456 is an abundant number, since it is smaller than the sum of its proper divisors (7895282640).

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

3914961456 is a wasteful number, since it uses less digits than its factorization.

3914961456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1085 counting only the distinct ones).

The product of its digits is 699840, while the sum is 48.

The square root of 3914961456 is about 62569.6528358597. The cubic root of 3914961456 is about 1576.0711894629.

The spelling of 3914961456 in words is "three billion, nine hundred fourteen million, nine hundred sixty-one thousand, four hundred fifty-six".