36401640 has 192 divisors, whose sum is σ = 126403200. Its totient is φ = 8363520.

The previous prime is 36401633. The next prime is 36401653. The reversal of 36401640 is 4610463.

36401640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 36401640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333906 + ... + 334014.

It is an arithmetic number, because the mean of its divisors is an integer number (658350).

Almost surely, 2^36401640 is an apocalyptic number.

36401640 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 36401640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63201600).

36401640 is an abundant number, since it is smaller than the sum of its proper divisors (90001560).

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

36401640 is a wasteful number, since it uses less digits than its factorization.

36401640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 36401640 is about 6033.3771637450. The cubic root of 36401640 is about 331.4161364311.

The spelling of 36401640 in words is "thirty-six million, four hundred one thousand, six hundred forty".