36735140 has 48 divisors (see below), whose sum is σ = 86704128. Its totient is φ = 12971904.

The previous prime is 36735137. The next prime is 36735143. The reversal of 36735140 is 4153763.

It is an interprime number because it is at equal distance from previous prime (36735137) and next prime (36735143).

It is not an unprimeable number, because it can be changed into a prime (36735143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2909 + ... + 9051.

It is an arithmetic number, because the mean of its divisors is an integer number (1806336).

Almost surely, 2^36735140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36735140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43352064).

36735140 is an abundant number, since it is smaller than the sum of its proper divisors (49968988).

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

36735140 is a wasteful number, since it uses less digits than its factorization.

36735140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6188 (or 6186 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 36735140 is about 6060.9520704259. The cubic root of 36735140 is about 332.4251701884.

The spelling of 36735140 in words is "thirty-six million, seven hundred thirty-five thousand, one hundred forty".