36412740 has 360 divisors, whose sum is σ = 148800960. Its totient is φ = 7278336.

The previous prime is 36412723. The next prime is 36412741. The reversal of 36412740 is 4721463.

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

It is not an unprimeable number, because it can be changed into a prime (36412741) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1916451 + ... + 1916469.

It is an arithmetic number, because the mean of its divisors is an integer number (413336).

Almost surely, 2^36412740 is an apocalyptic number.

36412740 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 36412740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74400480).

36412740 is an abundant number, since it is smaller than the sum of its proper divisors (112388220).

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

36412740 is a wasteful number, since it uses less digits than its factorization.

36412740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 36412740 is about 6034.2969764505. The cubic root of 36412740 is about 331.4498193939.

The spelling of 36412740 in words is "thirty-six million, four hundred twelve thousand, seven hundred forty".