37447668 has 72 divisors (see below), whose sum is σ = 102630528. Its totient is φ = 11467008.

The previous prime is 37447661. The next prime is 37447679. The reversal of 37447668 is 86674473.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37447661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25605 + ... + 27027.

It is an arithmetic number, because the mean of its divisors is an integer number (1425424).

Almost surely, 2^37447668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37447668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51315264).

37447668 is an abundant number, since it is smaller than the sum of its proper divisors (65182860).

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

37447668 is a wasteful number, since it uses less digits than its factorization.

37447668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1488 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 37447668 is about 6119.4499752837. The cubic root of 37447668 is about 334.5607013784.

It can be divided in two parts, 374476 and 68, that added together give a square (374544 = 612²).

The spelling of 37447668 in words is "thirty-seven million, four hundred forty-seven thousand, six hundred sixty-eight".