3913952 has 48 divisors (see below), whose sum is σ = 8944992. Its totient is φ = 1651200.

The previous prime is 3913907. The next prime is 3913963. The reversal of 3913952 is 2593193.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22538 + ... + 22710.

It is an arithmetic number, because the mean of its divisors is an integer number (186354).

Almost surely, 2^3913952 is an apocalyptic number.

3913952 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 3913952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472496).

3913952 is an abundant number, since it is smaller than the sum of its proper divisors (5031040).

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

3913952 is a wasteful number, since it uses less digits than its factorization.

3913952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 283 counting only the distinct ones).

The product of its digits is 7290, while the sum is 32.

The square root of 3913952 is about 1978.3710470991. The cubic root of 3913952 is about 157.5935716756.

The spelling of 3913952 in words is "three million, nine hundred thirteen thousand, nine hundred fifty-two".