3918975456 has 192 divisors, whose sum is σ = 11953267200. Its totient is φ = 1111080960.

The previous prime is 3918975299. The next prime is 3918975481. The reversal of 3918975456 is 6545798193.

3918975456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3918975396 and 3918975405.

It is a congruent number.

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, 3571900 + ... + 3572996.

It is an arithmetic number, because the mean of its divisors is an integer number (62256600).

Almost surely, 2^3918975456 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 3918975456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5976633600).

3918975456 is an abundant number, since it is smaller than the sum of its proper divisors (8034291744).

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

3918975456 is a wasteful number, since it uses less digits than its factorization.

3918975456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1329 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 57.

The square root of 3918975456 is about 62601.7208709154. The cubic root of 3918975456 is about 1576.6096527340.

The spelling of 3918975456 in words is "three billion, nine hundred eighteen million, nine hundred seventy-five thousand, four hundred fifty-six".