36401024 has 64 divisors (see below), whose sum is σ = 80196480. Its totient is φ = 16320000.

The previous prime is 36401023. The next prime is 36401047. The reversal of 36401024 is 42010463.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 36400987 and 36401005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36401023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144899 + ... + 145149.

It is an arithmetic number, because the mean of its divisors is an integer number (1253070).

Almost surely, 2^36401024 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 36401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40098240).

36401024 is an abundant number, since it is smaller than the sum of its proper divisors (43795456).

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

36401024 is a wasteful number, since it uses less digits than its factorization.

36401024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 36401024 is about 6033.3261141762. The cubic root of 36401024 is about 331.4142669779.

Adding to 36401024 its reverse (42010463), we get a palindrome (78411487).

It can be divided in two parts, 3640 and 1024, that added together give a palindrome (4664).

The spelling of 36401024 in words is "thirty-six million, four hundred one thousand, twenty-four".