36348125952 has 216 divisors, whose sum is σ = 105876853488. Its totient is φ = 11031674880.

The previous prime is 36348125939. The next prime is 36348125953. The reversal of 36348125952 is 25952184363.

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

It is not an unprimeable number, because it can be changed into a prime (36348125953) 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, 12545368 + ... + 12548264.

It is an arithmetic number, because the mean of its divisors is an integer number (490170618).

Almost surely, 2^36348125952 is an apocalyptic number.

36348125952 is a gapful number since it is divisible by the number (32) 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 36348125952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52938426744).

36348125952 is an abundant number, since it is smaller than the sum of its proper divisors (69528727536).

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

36348125952 is a wasteful number, since it uses less digits than its factorization.

36348125952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2995 (or 2950 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 48.

The spelling of 36348125952 in words is "thirty-six billion, three hundred forty-eight million, one hundred twenty-five thousand, nine hundred fifty-two".