36761088 has 160 divisors (see below), whose sum is σ = 120992256. Its totient is φ = 9658368.

The previous prime is 36761083. The next prime is 36761093. The reversal of 36761088 is 88016763.

It is an interprime number because it is at equal distance from previous prime (36761083) and next prime (36761093).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36761083) 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, 139645 + ... + 139907.

Almost surely, 2^36761088 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 36761088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60496128).

36761088 is an abundant number, since it is smaller than the sum of its proper divisors (84231168).

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

36761088 is a wasteful number, since it uses less digits than its factorization.

36761088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 36761088 is about 6063.0922803467. The cubic root of 36761088 is about 332.5034216770.

It can be divided in two parts, 3676108 and 8, that added together give a triangular number (3676116 = T₂₇₁₁).

The spelling of 36761088 in words is "thirty-six million, seven hundred sixty-one thousand, eighty-eight".