36958464 has 72 divisors (see below), whose sum is σ = 109313120. Its totient is φ = 12317184.

The previous prime is 36958463. The next prime is 36958487. The reversal of 36958464 is 46485963.

36958464 is a `hidden beast` number, since 3 + 6 + 9 + 584 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×36958464² = 2731856122478592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36958463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4239 + ... + 9585.

Almost surely, 2^36958464 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 36958464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54656560).

36958464 is an abundant number, since it is smaller than the sum of its proper divisors (72354656).

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

36958464 is an equidigital number, since it uses as much as digits as its factorization.

36958464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5372 (or 5352 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 36958464 is about 6079.3473333903. The cubic root of 36958464 is about 333.0974473350.

The spelling of 36958464 in words is "thirty-six million, nine hundred fifty-eight thousand, four hundred sixty-four".