3446372952 has 96 divisors (see below), whose sum is σ = 10195061760. Its totient is φ = 1043064000.

The previous prime is 3446372947. The next prime is 3446372971. The reversal of 3446372952 is 2592736443.

3446372952 is a `hidden beast` number, since 3 + 4 + 4 + 637 + 2 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3446372898 and 3446372907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 782677 + ... + 787067.

It is an arithmetic number, because the mean of its divisors is an integer number (106198560).

Almost surely, 2^3446372952 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 3446372952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097530880).

3446372952 is an abundant number, since it is smaller than the sum of its proper divisors (6748688808).

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

3446372952 is a wasteful number, since it uses less digits than its factorization.

3446372952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5405 (or 5398 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 3446372952 is about 58705.8170201216. The cubic root of 3446372952 is about 1510.5000977928.

The spelling of 3446372952 in words is "three billion, four hundred forty-six million, three hundred seventy-two thousand, nine hundred fifty-two".