3947074560 has 528 divisors, whose sum is σ = 16094332800. Its totient is φ = 881786880.

The previous prime is 3947074543. The next prime is 3947074583. The reversal of 3947074560 is 654707493.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 6589141 + ... + 6589739.

Almost surely, 2^3947074560 is an apocalyptic number.

3947074560 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 3947074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8047166400).

3947074560 is an abundant number, since it is smaller than the sum of its proper divisors (12147258240).

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

3947074560 is a wasteful number, since it uses less digits than its factorization.

3947074560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3947074560 is about 62825.7475880709. The cubic root of 3947074560 is about 1580.3687864249.

The spelling of 3947074560 in words is "three billion, nine hundred forty-seven million, seventy-four thousand, five hundred sixty".