3983285400 has 96 divisors (see below), whose sum is σ = 12998126400. Its totient is φ = 1006300800.

The previous prime is 3983285399. The next prime is 3983285443. The reversal of 3983285400 is 45823893.

3983285400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163306 + ... + 186105.

It is an arithmetic number, because the mean of its divisors is an integer number (135397150).

Almost surely, 2^3983285400 is an apocalyptic number.

3983285400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3983285400 is an abundant number, since it is smaller than the sum of its proper divisors (9014841000).

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

3983285400 is a wasteful number, since it uses less digits than its factorization.

3983285400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349449 (or 349440 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 3983285400 is about 63113.2743565092. The cubic root of 3983285400 is about 1585.1869005752.

The spelling of 3983285400 in words is "three billion, nine hundred eighty-three million, two hundred eighty-five thousand, four hundred".