36276000 has 96 divisors (see below), whose sum is σ = 118879488. Its totient is φ = 9670400.

The previous prime is 36275999. The next prime is 36276001. The reversal of 36276000 is 67263.

It is an interprime number because it is at equal distance from previous prime (36275999) and next prime (36276001).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (36276001) 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, 10489 + ... + 13511.

It is an arithmetic number, because the mean of its divisors is an integer number (1238328).

Almost surely, 2^36276000 is an apocalyptic number.

36276000 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 36276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59439744).

36276000 is an abundant number, since it is smaller than the sum of its proper divisors (82603488).

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

36276000 is a wasteful number, since it uses less digits than its factorization.

36276000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 36276000 is about 6022.9560848474. The cubic root of 36276000 is about 331.0344034363.

The spelling of 36276000 in words is "thirty-six million, two hundred seventy-six thousand".