36961740 has 144 divisors (see below), whose sum is σ = 121709952. Its totient is φ = 9043968.

The previous prime is 36961733. The next prime is 36961741. The reversal of 36961740 is 4716963.

36961740 is a `hidden beast` number, since 36 + 9 + 617 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36961695 and 36961704.

It is not an unprimeable number, because it can be changed into a prime (36961741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143692 + ... + 143948.

It is an arithmetic number, because the mean of its divisors is an integer number (845208).

Almost surely, 2^36961740 is an apocalyptic number.

36961740 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 36961740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60854976).

36961740 is an abundant number, since it is smaller than the sum of its proper divisors (84748212).

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

36961740 is a wasteful number, since it uses less digits than its factorization.

36961740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 36961740 is about 6079.6167642377. The cubic root of 36961740 is about 333.1072889687.

The spelling of 36961740 in words is "thirty-six million, nine hundred sixty-one thousand, seven hundred forty".