3917451456 has 168 divisors, whose sum is σ = 11435882640. Its totient is φ = 1281982464.

The previous prime is 3917451451. The next prime is 3917451463. The reversal of 3917451456 is 6541547193.

3917451456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3917451451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9047016 + ... + 9047448.

It is an arithmetic number, because the mean of its divisors is an integer number (68070730).

Almost surely, 2^3917451456 is an apocalyptic number.

3917451456 is a gapful number since it is divisible by the number (36) 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 3917451456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5717941320).

3917451456 is an abundant number, since it is smaller than the sum of its proper divisors (7518431184).

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

3917451456 is a wasteful number, since it uses less digits than its factorization.

3917451456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 690 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 3917451456 is about 62589.5474979649. The cubic root of 3917451456 is about 1576.4052570815.

The spelling of 3917451456 in words is "three billion, nine hundred seventeen million, four hundred fifty-one thousand, four hundred fifty-six".