36279360 has 448 divisors, whose sum is σ = 153619200. Its totient is φ = 7962624.

The previous prime is 36279359. The next prime is 36279371. The reversal of 36279360 is 6397263.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1909431 + ... + 1909449.

It is an arithmetic number, because the mean of its divisors is an integer number (342900).

Almost surely, 2^36279360 is an apocalyptic number.

36279360 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 36279360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76809600).

36279360 is an abundant number, since it is smaller than the sum of its proper divisors (117339840).

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

36279360 is a wasteful number, since it uses less digits than its factorization.

36279360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 36279360 is about 6023.2350111879. The cubic root of 36279360 is about 331.0446236118.

The spelling of 36279360 in words is "thirty-six million, two hundred seventy-nine thousand, three hundred sixty".