363874368400 has 45 divisors (see below), whose sum is σ = 874237155763. Its totient is φ = 145544921600.

The previous prime is 363874368371. The next prime is 363874368427. The reversal of 363874368400 is 4863478363.

The square root of 363874368400 is 603220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11494412944 + 352379955456 = 107212^2 + 593616^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12049320 + ... + 12079480.

Almost surely, 2^363874368400 is an apocalyptic number.

363874368400 is the 603220-th square number.

It is an amenable number.

363874368400 is an abundant number, since it is smaller than the sum of its proper divisors (510362787363).

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

363874368400 is an frugal number, since it uses more digits than its factorization.

363874368400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60340 (or 30168 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 52.

The spelling of 363874368400 in words is "three hundred sixty-three billion, eight hundred seventy-four million, three hundred sixty-eight thousand, four hundred".