8352590400 has 1344 divisors, whose sum is σ = 39669841920. Its totient is φ = 1679616000.

The previous prime is 8352590387. The next prime is 8352590413. The reversal of 8352590400 is 40952538.

8352590400 is a `hidden beast` number, since 8 + 3 + 525 + 90 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8352590387) and next prime (8352590413).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 269438385 + ... + 269438415.

Almost surely, 2^8352590400 is an apocalyptic number.

8352590400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8352590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19834920960).

8352590400 is an abundant number, since it is smaller than the sum of its proper divisors (31317251520).

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

8352590400 is a wasteful number, since it uses less digits than its factorization.

8352590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 8352590400 is about 91392.5073515329. The cubic root of 8352590400 is about 2028.9611353953.

The spelling of 8352590400 in words is "eight billion, three hundred fifty-two million, five hundred ninety thousand, four hundred".