3920214960 has 240 divisors, whose sum is σ = 14205189024. Its totient is φ = 965173248.

The previous prime is 3920214937. The next prime is 3920214971. The reversal of 3920214960 is 694120293.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 645699 + ... + 651741.

Almost surely, 2^3920214960 is an apocalyptic number.

3920214960 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 3920214960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7102594512).

3920214960 is an abundant number, since it is smaller than the sum of its proper divisors (10284974064).

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

3920214960 is a wasteful number, since it uses less digits than its factorization.

3920214960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6132 (or 6123 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3920214960 is about 62611.6200077909. The cubic root of 3920214960 is about 1576.7758533138.

The spelling of 3920214960 in words is "three billion, nine hundred twenty million, two hundred fourteen thousand, nine hundred sixty".