3993978240 has 768 divisors, whose sum is σ = 16953624000. Its totient is φ = 885620736.

The previous prime is 3993978229. The next prime is 3993978257. The reversal of 3993978240 is 428793993.

3993978240 is a `hidden beast` number, since 3 + 9 + 9 + 397 + 8 + 240 = 666.

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

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, 44876116 + ... + 44876204.

Almost surely, 2^3993978240 is an apocalyptic number.

3993978240 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 3993978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8476812000).

3993978240 is an abundant number, since it is smaller than the sum of its proper divisors (12959645760).

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

3993978240 is a wasteful number, since it uses less digits than its factorization.

3993978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 3993978240 is about 63197.9290799944. The cubic root of 3993978240 is about 1586.6040728863.

The spelling of 3993978240 in words is "three billion, nine hundred ninety-three million, nine hundred seventy-eight thousand, two hundred forty".