36001440 has 144 divisors (see below), whose sum is σ = 128314368. Its totient is φ = 9174528.

The previous prime is 36001429. The next prime is 36001457. The reversal of 36001440 is 4410063.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×36001440² = 2592207364147200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32577 + ... + 33663.

It is an arithmetic number, because the mean of its divisors is an integer number (891072).

Almost surely, 2^36001440 is an apocalyptic number.

36001440 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 36001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64157184).

36001440 is an abundant number, since it is smaller than the sum of its proper divisors (92312928).

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

36001440 is a wasteful number, since it uses less digits than its factorization.

36001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 36001440 is about 6000.1199988000. The cubic root of 36001440 is about 330.1971274004.

The spelling of 36001440 in words is "thirty-six million, one thousand, four hundred forty".