36483950400 has 336 divisors, whose sum is σ = 122081519616. Its totient is φ = 9537454080.

The previous prime is 36483950387. The next prime is 36483950413. The reversal of 36483950400 is 405938463.

36483950400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36483950387) and next prime (36483950413).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59130892 + ... + 59131508.

It is an arithmetic number, because the mean of its divisors is an integer number (363337856).

Almost surely, 2^36483950400 is an apocalyptic number.

36483950400 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 36483950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61040759808).

36483950400 is an abundant number, since it is smaller than the sum of its proper divisors (85597569216).

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

36483950400 is a wasteful number, since it uses less digits than its factorization.

36483950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 36483950400 in words is "thirty-six billion, four hundred eighty-three million, nine hundred fifty thousand, four hundred".