36225601920 has 512 divisors, whose sum is σ = 137056665600. Its totient is φ = 9011036160.

The previous prime is 36225601897. The next prime is 36225601943. The reversal of 36225601920 is 2910652263.

36225601920 is a `hidden beast` number, since 3 + 6 + 2 + 2 + 560 + 1 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36225601897) and next prime (36225601943).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37307035 + ... + 37308005.

It is an arithmetic number, because the mean of its divisors is an integer number (267688800).

Almost surely, 2^36225601920 is an apocalyptic number.

36225601920 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 36225601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68528332800).

36225601920 is an abundant number, since it is smaller than the sum of its proper divisors (100831063680).

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

36225601920 is a wasteful number, since it uses less digits than its factorization.

36225601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 36225601920 in words is "thirty-six billion, two hundred twenty-five million, six hundred one thousand, nine hundred twenty".