3983078400 has 528 divisors, whose sum is σ = 15595192320. Its totient is φ = 877363200.

The previous prime is 3983078329. The next prime is 3983078401. The reversal of 3983078400 is 48703893.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3983078401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16665481 + ... + 16665719.

Almost surely, 2^3983078400 is an apocalyptic number.

3983078400 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 3983078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7797596160).

3983078400 is an abundant number, since it is smaller than the sum of its proper divisors (11612113920).

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

3983078400 is a wasteful number, since it uses less digits than its factorization.

3983078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 3983078400 is about 63111.6344266253. The cubic root of 3983078400 is about 1585.1594408830.

The spelling of 3983078400 in words is "three billion, nine hundred eighty-three million, seventy-eight thousand, four hundred".