3920034960 has 160 divisors (see below), whose sum is σ = 13693052160. Its totient is φ = 1030579200.

The previous prime is 3920034941. The next prime is 3920034973. The reversal of 3920034960 is 694300293.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140580 + ... + 166140.

It is an arithmetic number, because the mean of its divisors is an integer number (85581576).

Almost surely, 2^3920034960 is an apocalyptic number.

3920034960 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 3920034960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6846526080).

3920034960 is an abundant number, since it is smaller than the sum of its proper divisors (9773017200).

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

3920034960 is a wasteful number, since it uses less digits than its factorization.

3920034960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25654 (or 25642 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3920034960 is about 62610.1825584305. The cubic root of 3920034960 is about 1576.7517199435.

The spelling of 3920034960 in words is "three billion, nine hundred twenty million, thirty-four thousand, nine hundred sixty".