36799488 has 176 divisors, whose sum is σ = 119872320. Its totient is φ = 11151360.

The previous prime is 36799481. The next prime is 36799489. The reversal of 36799488 is 88499763.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2612736) is a multiple of the sum of its prime divisors (16).

It is not an unprimeable number, because it can be changed into a prime (36799481) 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, 3345403 + ... + 3345413.

Almost surely, 2^36799488 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 36799488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59936160).

36799488 is an abundant number, since it is smaller than the sum of its proper divisors (83072832).

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

36799488 is an equidigital number, since it uses as much as digits as its factorization.

36799488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 16 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 36799488 is about 6066.2581547442. The cubic root of 36799488 is about 332.6191571722.

36799488 divided by its sum of digits (54) gives a cube (681472 = 88³).

The spelling of 36799488 in words is "thirty-six million, seven hundred ninety-nine thousand, four hundred eighty-eight".