36416344937400 has 288 divisors, whose sum is σ = 126838146839040. Its totient is φ = 9710232255360.

The previous prime is 36416344937363. The next prime is 36416344937407. The reversal of 36416344937400 is 473944361463.

36416344937400 is a `hidden beast` number, since 3 + 6 + 4 + 163 + 4 + 49 + 37 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36416344937407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 822630067 + ... + 822674333.

It is an arithmetic number, because the mean of its divisors is an integer number (440410232080).

Almost surely, 2^{36416344937400} is an apocalyptic number.

36416344937400 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 36416344937400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63419073419520).

36416344937400 is an abundant number, since it is smaller than the sum of its proper divisors (90421801901640).

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

36416344937400 is a wasteful number, since it uses less digits than its factorization.

36416344937400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61225 (or 61204 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 36416344937400 in words is "thirty-six trillion, four hundred sixteen billion, three hundred forty-four million, nine hundred thirty-seven thousand, four hundred".