3952192320 has 168 divisors, whose sum is σ = 13633191936. Its totient is φ = 1050872832.

The previous prime is 3952192319. The next prime is 3952192331. The reversal of 3952192320 is 232912593.

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

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, 1101249 + ... + 1104831.

It is an arithmetic number, because the mean of its divisors is an integer number (81149952).

Almost surely, 2^3952192320 is an apocalyptic number.

3952192320 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 3952192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6816595968).

3952192320 is an abundant number, since it is smaller than the sum of its proper divisors (9680999616).

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

3952192320 is a wasteful number, since it uses less digits than its factorization.

3952192320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3989 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3952192320 is about 62866.4641919680. The cubic root of 3952192320 is about 1581.0515245688.

It can be divided in two parts, 39521 and 92320, that added together give a triangular number (131841 = T₅₁₃).

The spelling of 3952192320 in words is "three billion, nine hundred fifty-two million, one hundred ninety-two thousand, three hundred twenty".