3934617120 has 672 divisors, whose sum is σ = 16393950720. Its totient is φ = 873400320.

The previous prime is 3934617101. The next prime is 3934617131. The reversal of 3934617120 is 217164393.

3934617120 is a `hidden beast` number, since 3 + 9 + 34 + 617 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 49805241 + ... + 49805319.

It is an arithmetic number, because the mean of its divisors is an integer number (24395760).

Almost surely, 2^3934617120 is an apocalyptic number.

3934617120 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 3934617120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8196975360).

3934617120 is an abundant number, since it is smaller than the sum of its proper divisors (12459333600).

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

3934617120 is an equidigital number, since it uses as much as digits as its factorization.

3934617120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3934617120 is about 62726.5264461535. The cubic root of 3934617120 is about 1578.7044231684.

The spelling of 3934617120 in words is "three billion, nine hundred thirty-four million, six hundred seventeen thousand, one hundred twenty".