36228347904 has 384 divisors, whose sum is σ = 117998899200. Its totient is φ = 9661317120.

The previous prime is 36228347843. The next prime is 36228347951. The reversal of 36228347904 is 40974382263.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×36228347904² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 38663724 + ... + 38664660.

It is an arithmetic number, because the mean of its divisors is an integer number (307288800).

Almost surely, 2^36228347904 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 36228347904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58999449600).

36228347904 is an abundant number, since it is smaller than the sum of its proper divisors (81770551296).

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

36228347904 is a wasteful number, since it uses less digits than its factorization.

36228347904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 36228347904 in words is "thirty-six billion, two hundred twenty-eight million, three hundred forty-seven thousand, nine hundred four".