3947890752 has 392 divisors, whose sum is σ = 13245900864. Its totient is φ = 1157815296.

The previous prime is 3947890741. The next prime is 3947890763. The reversal of 3947890752 is 2570987493.

3947890752 is a `hidden beast` number, since 39 + 478 + 90 + 7 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (3947890741) and next prime (3947890763).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13950003 + ... + 13950285.

Almost surely, 2^3947890752 is an apocalyptic number.

3947890752 is a gapful number since it is divisible by the number (32) 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 3947890752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6622950432).

3947890752 is an abundant number, since it is smaller than the sum of its proper divisors (9298010112).

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

3947890752 is a wasteful number, since it uses less digits than its factorization.

3947890752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 3947890752 is about 62832.2429330674. The cubic root of 3947890752 is about 1580.4777105950.

The spelling of 3947890752 in words is "three billion, nine hundred forty-seven million, eight hundred ninety thousand, seven hundred fifty-two".