3993762240 has 672 divisors, whose sum is σ = 16101852480. Its totient is φ = 925655040.

The previous prime is 3993762233. The next prime is 3993762319. The reversal of 3993762240 is 422673993.

3993762240 is a `hidden beast` number, since 39 + 9 + 376 + 2 + 240 = 666.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 107939502 + ... + 107939538.

It is an arithmetic number, because the mean of its divisors is an integer number (23961090).

Almost surely, 2^3993762240 is an apocalyptic number.

3993762240 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 3993762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8050926240).

3993762240 is an abundant number, since it is smaller than the sum of its proper divisors (12108090240).

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

3993762240 is a wasteful number, since it uses less digits than its factorization.

3993762240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3993762240 is about 63196.2201401318. The cubic root of 3993762240 is about 1586.5754704389.

The spelling of 3993762240 in words is "three billion, nine hundred ninety-three million, seven hundred sixty-two thousand, two hundred forty".