3983793840 has 600 divisors, whose sum is σ = 15846204528. Its totient is φ = 921922560.

The previous prime is 3983793833. The next prime is 3983793871. The reversal of 3983793840 is 483973893.

It is a super-2 number, since 2×3983793840² = 31741226719243891200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 119 ways as a sum of consecutive naturals, for example, 30410575 + ... + 30410705.

Almost surely, 2^3983793840 is an apocalyptic number.

3983793840 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 3983793840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7923102264).

3983793840 is an abundant number, since it is smaller than the sum of its proper divisors (11862410688).

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

3983793840 is a wasteful number, since it uses less digits than its factorization.

3983793840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 3983793840 is about 63117.3022237168. The cubic root of 3983793840 is about 1585.2543439088.

The spelling of 3983793840 in words is "three billion, nine hundred eighty-three million, seven hundred ninety-three thousand, eight hundred forty".