36342500040 has 1920 divisors, whose sum is σ = 175194835200. Its totient is φ = 6569164800.

The previous prime is 36342500027. The next prime is 36342500069. The reversal of 36342500040 is 4000524363.

36342500040 is a `hidden beast` number, since 3 + 634 + 25 + 0 + 0 + 0 + 4 + 0 = 666.

It is a super-3 number, since 3×36342500040³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 36342499977 and 36342500013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 886402420 + ... + 886402460.

It is an arithmetic number, because the mean of its divisors is an integer number (91247310).

Almost surely, 2^36342500040 is an apocalyptic number.

36342500040 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 36342500040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87597417600).

36342500040 is an abundant number, since it is smaller than the sum of its proper divisors (138852335160).

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

36342500040 is a wasteful number, since it uses less digits than its factorization.

36342500040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 36342500040 in words is "thirty-six billion, three hundred forty-two million, five hundred thousand, forty".