36748105290 has 144 divisors (see below), whose sum is σ = 103605259680. Its totient is φ = 9032999040.

The previous prime is 36748105283. The next prime is 36748105321. The reversal of 36748105290 is 9250184763.

36748105290 is a `hidden beast` number, since 36 + 7 + 481 + 0 + 52 + 90 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15497805 + ... + 15500175.

It is an arithmetic number, because the mean of its divisors is an integer number (719480970).

It is a 2-persistent number, because it is pandigital, and so is 2⋅36748105290 = 73496210580, but 3⋅36748105290 = 110244315870 is not.

Almost surely, 2^36748105290 is an apocalyptic number.

36748105290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36748105290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51802629840).

36748105290 is an abundant number, since it is smaller than the sum of its proper divisors (66857154390).

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

36748105290 is a wasteful number, since it uses less digits than its factorization.

36748105290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 36748105290 in words is "thirty-six billion, seven hundred forty-eight million, one hundred five thousand, two hundred ninety".