8395736400 has 120 divisors (see below), whose sum is σ = 29882640960. Its totient is φ = 2238860160.

The previous prime is 8395736381. The next prime is 8395736411. The reversal of 8395736400 is 46375938.

8395736400 is a `hidden beast` number, since 8 + 39 + 573 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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, 377892 + ... + 399491.

It is an arithmetic number, because the mean of its divisors is an integer number (249022008).

Almost surely, 2^8395736400 is an apocalyptic number.

8395736400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8395736400 is an abundant number, since it is smaller than the sum of its proper divisors (21486904560).

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

8395736400 is a wasteful number, since it uses less digits than its factorization.

8395736400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777410 (or 777393 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 8395736400 is about 91628.2511019391. The cubic root of 8395736400 is about 2032.4487262565.

The spelling of 8395736400 in words is "eight billion, three hundred ninety-five million, seven hundred thirty-six thousand, four hundred".