36429640 has 96 divisors (see below), whose sum is σ = 94274280. Its totient is φ = 12619776.

The previous prime is 36429637. The next prime is 36429649. The reversal of 36429640 is 4692463.

It can be written as a sum of positive squares in 12 ways, for example, as 1359556 + 35070084 = 1166^2 + 5922^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 36429596 and 36429605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36429649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114762 + ... + 115078.

Almost surely, 2^36429640 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 36429640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47137140).

36429640 is an abundant number, since it is smaller than the sum of its proper divisors (57844640).

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

36429640 is a wasteful number, since it uses less digits than its factorization.

36429640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 36429640 is about 6035.6971428328. The cubic root of 36429640 is about 331.5010893210.

The spelling of 36429640 in words is "thirty-six million, four hundred twenty-nine thousand, six hundred forty".