36257034240 has 1664 divisors, whose sum is σ = 169848576000. Its totient is φ = 7134511104.

The previous prime is 36257034199. The next prime is 36257034251. The reversal of 36257034240 is 4243075263.

36257034240 is a `hidden beast` number, since 3 + 6 + 2 + 570 + 3 + 42 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 36257034195 and 36257034204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1250242546 + ... + 1250242574.

Almost surely, 2^36257034240 is an apocalyptic number.

36257034240 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 36257034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84924288000).

36257034240 is an abundant number, since it is smaller than the sum of its proper divisors (133591541760).

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

36257034240 is a wasteful number, since it uses less digits than its factorization.

36257034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 36257034240 in words is "thirty-six billion, two hundred fifty-seven million, thirty-four thousand, two hundred forty".