37366436416 has 63 divisors (see below), whose sum is σ = 75406488633. Its totient is φ = 18371612160.

The previous prime is 37366436413. The next prime is 37366436423. The reversal of 37366436416 is 61463466373.

The square root of 37366436416 is 193304.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 21211009600 + 16155426816 = 145640^2 + 127104^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 37366436416.

It is not an unprimeable number, because it can be changed into a prime (37366436411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 112889371 + ... + 112889701.

It is an arithmetic number, because the mean of its divisors is an integer number (1196928391).

Almost surely, 2^37366436416 is an apocalyptic number.

37366436416 is the 193304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37366436416

37366436416 is an abundant number, since it is smaller than the sum of its proper divisors (38040052217).

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

37366436416 is an frugal number, since it uses more digits than its factorization.

37366436416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 406 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 49.

Multiplying 37366436416 by its sum of digits (49), we get a square (1830955384384 = 1353128²).

The spelling of 37366436416 in words is "thirty-seven billion, three hundred sixty-six million, four hundred thirty-six thousand, four hundred sixteen".