3933798400 has 255 divisors, whose sum is σ = 11381026001. Its totient is φ = 1348730880.

The previous prime is 3933798389. The next prime is 3933798461. The reversal of 3933798400 is 48973393.

The square root of 3933798400 is 62720.

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

It can be written as a sum of positive squares in only one way, i.e., 1416167424 + 2517630976 = 37632^2 + 50176^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 561971197 + ... + 561971203.

Almost surely, 2^3933798400 is an apocalyptic number.

3933798400 is the 62720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3933798400

3933798400 is an abundant number, since it is smaller than the sum of its proper divisors (7447227601).

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

3933798400 is an frugal number, since it uses more digits than its factorization.

3933798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 46.

The cubic root of 3933798400 is about 1578.5949159825.

The spelling of 3933798400 in words is "three billion, nine hundred thirty-three million, seven hundred ninety-eight thousand, four hundred".