36851630400 has 1008 divisors, whose sum is σ = 153120449664. Its totient is φ = 8649400320.

The previous prime is 36851630359. The next prime is 36851630441. The reversal of 36851630400 is 403615863.

It is an interprime number because it is at equal distance from previous prime (36851630359) and next prime (36851630441).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 116251042 + ... + 116251358.

It is an arithmetic number, because the mean of its divisors is an integer number (151905208).

Almost surely, 2^36851630400 is an apocalyptic number.

36851630400 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 36851630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76560224832).

36851630400 is an abundant number, since it is smaller than the sum of its proper divisors (116268819264).

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

36851630400 is a wasteful number, since it uses less digits than its factorization.

36851630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 36851630400 in words is "thirty-six billion, eight hundred fifty-one million, six hundred thirty thousand, four hundred".