3921800400 has 180 divisors, whose sum is σ = 15554084832. Its totient is φ = 896405760.

The previous prime is 3921800369. The next prime is 3921800419. The reversal of 3921800400 is 40081293.

3921800400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52614 + ... + 103013.

Almost surely, 2^3921800400 is an apocalyptic number.

3921800400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3921800400 is an abundant number, since it is smaller than the sum of its proper divisors (11632284432).

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

3921800400 is a wasteful number, since it uses less digits than its factorization.

3921800400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155658 (or 155644 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3921800400 is about 62624.2796365755. The cubic root of 3921800400 is about 1576.9883881368.

Adding to 3921800400 its reverse (40081293), we get a palindrome (3961881693).

The spelling of 3921800400 in words is "three billion, nine hundred twenty-one million, eight hundred thousand, four hundred".