36279540 has 144 divisors (see below), whose sum is σ = 122181696. Its totient is φ = 8640000.

The previous prime is 36279511. The next prime is 36279557. The reversal of 36279540 is 4597263.

It is a super-2 number, since 2×36279540² = 2632410045223200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 36279495 and 36279504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144415 + ... + 144665.

It is an arithmetic number, because the mean of its divisors is an integer number (848484).

Almost surely, 2^36279540 is an apocalyptic number.

36279540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36279540 is the 3012-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36279540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61090848).

36279540 is an abundant number, since it is smaller than the sum of its proper divisors (85902156).

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

36279540 is a wasteful number, since it uses less digits than its factorization.

36279540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 36279540 is about 6023.2499533059. The cubic root of 36279540 is about 331.0451711033.

The spelling of 36279540 in words is "thirty-six million, two hundred seventy-nine thousand, five hundred forty".