36446250540 has 384 divisors, whose sum is σ = 125788723200. Its totient is φ = 7707893760.

The previous prime is 36446250517. The next prime is 36446250541. The reversal of 36446250540 is 4505264463.

36446250540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×36446250540³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (36446250541) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29462802 + ... + 29464038.

It is an arithmetic number, because the mean of its divisors is an integer number (327574800).

Almost surely, 2^36446250540 is an apocalyptic number.

36446250540 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 36446250540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62894361600).

36446250540 is an abundant number, since it is smaller than the sum of its proper divisors (89342472660).

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

36446250540 is a wasteful number, since it uses less digits than its factorization.

36446250540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 36446250540 in words is "thirty-six billion, four hundred forty-six million, two hundred fifty thousand, five hundred forty".