36398534400 has 324 divisors, whose sum is σ = 132599434968. Its totient is φ = 9522339840.

The previous prime is 36398534377. The next prime is 36398534461. The reversal of 36398534400 is 443589363.

36398534400 is a `hidden beast` number, since 3 + 639 + 8 + 5 + 3 + 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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3046839 + ... + 3058761.

Almost surely, 2^36398534400 is an apocalyptic number.

36398534400 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 36398534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66299717484).

36398534400 is an abundant number, since it is smaller than the sum of its proper divisors (96200900568).

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

36398534400 is a wasteful number, since it uses less digits than its factorization.

36398534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12008 (or 11986 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 36398534400 in words is "thirty-six billion, three hundred ninety-eight million, five hundred thirty-four thousand, four hundred".