36842400 has 432 divisors, whose sum is σ = 160864704. Its totient is φ = 7741440.

The previous prime is 36842381. The next prime is 36842411. The reversal of 36842400 is 424863.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 856779 + ... + 856821.

It is an arithmetic number, because the mean of its divisors is an integer number (372372).

Almost surely, 2^36842400 is an apocalyptic number.

36842400 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 36842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80432352).

36842400 is an abundant number, since it is smaller than the sum of its proper divisors (124022304).

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

36842400 is a wasteful number, since it uses less digits than its factorization.

36842400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 36842400 is about 6069.7940656994. The cubic root of 36842400 is about 332.7483963689.

It can be divided in two parts, 3684 and 2400, that added together give a square (6084 = 78²).

The spelling of 36842400 in words is "thirty-six million, eight hundred forty-two thousand, four hundred".