36406738830 has 384 divisors, whose sum is σ = 116493189120. Its totient is φ = 7191072000.

The previous prime is 36406738829. The next prime is 36406738843. The reversal of 36406738830 is 3883760463.

36406738830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 36406738830.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29574315 + ... + 29575545.

It is an arithmetic number, because the mean of its divisors is an integer number (303367680).

Almost surely, 2^36406738830 is an apocalyptic number.

36406738830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 190805×190806.

It is a practical number, because each smaller number is the sum of distinct divisors of 36406738830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58246594560).

36406738830 is an abundant number, since it is smaller than the sum of its proper divisors (80086450290).

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

36406738830 is a wasteful number, since it uses less digits than its factorization.

36406738830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 36406738830 in words is "thirty-six billion, four hundred six million, seven hundred thirty-eight thousand, eight hundred thirty".