8738510400 has 567 divisors, whose sum is σ = 33598432803. Its totient is φ = 2153779200.

The previous prime is 8738510387. The next prime is 8738510401. The reversal of 8738510400 is 40158378.

The square root of 8738510400 is 93480.

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 3678179904 + 5060330496 = 60648^2 + 71136^2 .

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

It is not an unprimeable number, because it can be changed into a prime (8738510401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 213134380 + ... + 213134420.

Almost surely, 2^8738510400 is an apocalyptic number.

8738510400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8738510400 is the 93480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8738510400

8738510400 is an abundant number, since it is smaller than the sum of its proper divisors (24859922403).

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

8738510400 is a wasteful number, since it uses less digits than its factorization.

8738510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The cubic root of 8738510400 is about 2059.7403135118.

Multiplying 8738510400 by its sum of digits (36), we get a square (314586374400 = 560880²).

8738510400 divided by its sum of digits (36) gives a square (242736400 = 15580²).

Adding to 8738510400 its reverse (40158378), we get a palindrome (8778668778).

The spelling of 8738510400 in words is "eight billion, seven hundred thirty-eight million, five hundred ten thousand, four hundred".