3914006544 has 240 divisors, whose sum is σ = 12995711872. Its totient is φ = 1076447232.

The previous prime is 3914006539. The next prime is 3914006581. The reversal of 3914006544 is 4456004193.

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

It is a junction number, because it is equal to n+sod(n) for n = 3914006499 and 3914006508.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3163494 + ... + 3164730.

Almost surely, 2^3914006544 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 3914006544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6497855936).

3914006544 is an abundant number, since it is smaller than the sum of its proper divisors (9081705328).

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

3914006544 is a wasteful number, since it uses less digits than its factorization.

3914006544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3914006544 is about 62562.0215785903. The cubic root of 3914006544 is about 1575.9430373564.

The spelling of 3914006544 in words is "three billion, nine hundred fourteen million, six thousand, five hundred forty-four".