3930897960 has 576 divisors, whose sum is σ = 15058068480. Its totient is φ = 887040000.

The previous prime is 3930897959. The next prime is 3930897967. The reversal of 3930897960 is 697980393.

3930897960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3930897897 and 3930897906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3930897967) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55364725 + ... + 55364795.

It is an arithmetic number, because the mean of its divisors is an integer number (26142480).

Almost surely, 2^3930897960 is an apocalyptic number.

3930897960 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 3930897960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7529034240).

3930897960 is an abundant number, since it is smaller than the sum of its proper divisors (11127170520).

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

3930897960 is a wasteful number, since it uses less digits than its factorization.

3930897960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 3930897960 is about 62696.8736062652. The cubic root of 3930897960 is about 1578.2068478335.

The spelling of 3930897960 in words is "three billion, nine hundred thirty million, eight hundred ninety-seven thousand, nine hundred sixty".