3952058880 has 640 divisors, whose sum is σ = 16234960896. Its totient is φ = 796262400.

The previous prime is 3952058827. The next prime is 3952058893. The reversal of 3952058880 is 888502593.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24245679 + ... + 24245841.

Almost surely, 2^3952058880 is an apocalyptic number.

3952058880 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 3952058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8117480448).

3952058880 is an abundant number, since it is smaller than the sum of its proper divisors (12282902016).

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

3952058880 is a wasteful number, since it uses less digits than its factorization.

3952058880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The square root of 3952058880 is about 62865.4028858481. The cubic root of 3952058880 is about 1581.0337304035.

The spelling of 3952058880 in words is "three billion, nine hundred fifty-two million, fifty-eight thousand, eight hundred eighty".