36238752000 has 1440 divisors, whose sum is σ = 155564817408. Its totient is φ = 8294400000.

The previous prime is 36238751993. The next prime is 36238752007. The reversal of 36238752000 is 25783263.

36238752000 is a `hidden beast` number, since 3 + 623 + 8 + 7 + 5 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36238751993) and next prime (36238752007).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (36238752007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 883871980 + ... + 883872020.

Almost surely, 2^36238752000 is an apocalyptic number.

36238752000 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 36238752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77782408704).

36238752000 is an abundant number, since it is smaller than the sum of its proper divisors (119326065408).

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

36238752000 is a wasteful number, since it uses less digits than its factorization.

36238752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 36238752000 in words is "thirty-six billion, two hundred thirty-eight million, seven hundred fifty-two thousand".