3920097960 has 96 divisors (see below), whose sum is σ = 12748100040. Its totient is φ = 1044721152.

The previous prime is 3920097931. The next prime is 3920098019. The reversal of 3920097960 is 697900293.

It can be written as a sum of positive squares in 4 ways, for example, as 3903500484 + 16597476 = 62478^2 + 4074^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1048254 + ... + 1051986.

Almost surely, 2^3920097960 is an apocalyptic number.

3920097960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3920097960 is an abundant number, since it is smaller than the sum of its proper divisors (8828002080).

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

3920097960 is a wasteful number, since it uses less digits than its factorization.

3920097960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6667 (or 6660 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 3920097960 is about 62610.6856694606. The cubic root of 3920097960 is about 1576.7601667072.

The spelling of 3920097960 in words is "three billion, nine hundred twenty million, ninety-seven thousand, nine hundred sixty".