3934157760 has 504 divisors, whose sum is σ = 15009967440. Its totient is φ = 945045504.

The previous prime is 3934157743. The next prime is 3934157761. The reversal of 3934157760 is 677514393.

3934157760 is a `hidden beast` number, since 39 + 3 + 41 + 577 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3934157761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28716412 + ... + 28716548.

Almost surely, 2^3934157760 is an apocalyptic number.

3934157760 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 3934157760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7504983720).

3934157760 is an abundant number, since it is smaller than the sum of its proper divisors (11075809680).

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

3934157760 is a wasteful number, since it uses less digits than its factorization.

3934157760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 3934157760 is about 62722.8647304952. The cubic root of 3934157760 is about 1578.6429837395.

The spelling of 3934157760 in words is "three billion, nine hundred thirty-four million, one hundred fifty-seven thousand, seven hundred sixty".