36895401000 has 384 divisors, whose sum is σ = 129462896160. Its totient is φ = 9469440000.

The previous prime is 36895400959. The next prime is 36895401001. The reversal of 36895401000 is 10459863.

36895401000 is a `hidden beast` number, since 3 + 6 + 8 + 9 + 540 + 100 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1403101764 + 35492299236 = 37458^2 + 188394^2 .

It is a super-2 number, since 2×36895401000² (a number of 22 digits) contains 22 as substring.

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 (36895401001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33632452 + ... + 33633548.

Almost surely, 2^36895401000 is an apocalyptic number.

36895401000 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 36895401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64731448080).

36895401000 is an abundant number, since it is smaller than the sum of its proper divisors (92567495160).

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

36895401000 is a wasteful number, since it uses less digits than its factorization.

36895401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 36895401000 in words is "thirty-six billion, eight hundred ninety-five million, four hundred one thousand".