36343779840 has 480 divisors, whose sum is σ = 134143289280. Its totient is φ = 9423765504.

The previous prime is 36343779827. The next prime is 36343779859. The reversal of 36343779840 is 4897734363.

It is a happy number.

36343779840 is a `hidden beast` number, since 3 + 63 + 437 + 79 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23016171 + ... + 23017749.

It is an arithmetic number, because the mean of its divisors is an integer number (279465186).

Almost surely, 2^36343779840 is an apocalyptic number.

36343779840 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 36343779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67071644640).

36343779840 is an abundant number, since it is smaller than the sum of its proper divisors (97799509440).

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

36343779840 is an equidigital number, since it uses as much as digits as its factorization.

36343779840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 36343779840 in words is "thirty-six billion, three hundred forty-three million, seven hundred seventy-nine thousand, eight hundred forty".