36258494400 has 672 divisors, whose sum is σ = 137196576000. Its totient is φ = 9309081600.

The previous prime is 36258494383. The next prime is 36258494407. The reversal of 36258494400 is 449485263.

36258494400 is a `hidden beast` number, since 3 + 62 + 584 + 9 + 4 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36258494407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 243345526 + ... + 243345674.

Almost surely, 2^36258494400 is an apocalyptic number.

36258494400 is a gapful number since it is divisible by the number (30) 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 36258494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68598288000).

36258494400 is an abundant number, since it is smaller than the sum of its proper divisors (100938081600).

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

36258494400 is a wasteful number, since it uses less digits than its factorization.

36258494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 333 counting only the distinct ones).

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

The spelling of 36258494400 in words is "thirty-six billion, two hundred fifty-eight million, four hundred ninety-four thousand, four hundred".