3896202254400 has 315 divisors, whose sum is σ = 14324071875421. Its totient is φ = 1038797775360.

The previous prime is 3896202254387. The next prime is 3896202254411. The reversal of 3896202254400 is 44522026983.

The square root of 3896202254400 is 1973880.

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

3896202254400 is a `hidden beast` number, since 3 + 89 + 6 + 2 + 0 + 22 + 544 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1402632811584 + 2493569442816 = 1184328^2 + 1579104^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 710594059 + ... + 710599541.

Almost surely, 2^{3896202254400} is an apocalyptic number.

3896202254400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3896202254400 is the 1973880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3896202254400

3896202254400 is an abundant number, since it is smaller than the sum of its proper divisors (10427869621021).

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

3896202254400 is an frugal number, since it uses more digits than its factorization.

3896202254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11000 (or 5493 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3896202254400 in words is "three trillion, eight hundred ninety-six billion, two hundred two million, two hundred fifty-four thousand, four hundred".