3934998144 has 768 divisors, whose sum is σ = 15397724160. Its totient is φ = 970444800.

The previous prime is 3934998103. The next prime is 3934998157. The reversal of 3934998144 is 4418994393.

3934998144 is a `hidden beast` number, since 3 + 9 + 3 + 499 + 8 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74245222 + ... + 74245274.

It is an arithmetic number, because the mean of its divisors is an integer number (20049120).

Almost surely, 2^3934998144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3934998144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7698862080).

3934998144 is an abundant number, since it is smaller than the sum of its proper divisors (11462726016).

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

3934998144 is a wasteful number, since it uses less digits than its factorization.

3934998144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 3934998144 is about 62729.5635565879. The cubic root of 3934998144 is about 1578.7553815243.

The spelling of 3934998144 in words is "three billion, nine hundred thirty-four million, nine hundred ninety-eight thousand, one hundred forty-four".