36875040 has 96 divisors (see below), whose sum is σ = 123016320. Its totient is φ = 9252864.

The previous prime is 36875021. The next prime is 36875063. The reversal of 36875040 is 4057863.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 36874992 and 36875010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5901 + ... + 10419.

It is an arithmetic number, because the mean of its divisors is an integer number (1281420).

Almost surely, 2^36875040 is an apocalyptic number.

36875040 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 36875040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61508160).

36875040 is an abundant number, since it is smaller than the sum of its proper divisors (86141280).

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

36875040 is a wasteful number, since it uses less digits than its factorization.

36875040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4554 (or 4546 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 36875040 is about 6072.4821942925. The cubic root of 36875040 is about 332.8466319333.

The spelling of 36875040 in words is "thirty-six million, eight hundred seventy-five thousand, forty".