37466440 has 48 divisors (see below), whose sum is σ = 92671740. Its totient is φ = 13622400.

The previous prime is 37466431. The next prime is 37466479. The reversal of 37466440 is 4466473.

It can be written as a sum of positive squares in 2 ways, for example, as 35545444 + 1920996 = 5962^2 + 1386^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 37466396 and 37466405.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 970 + ... + 8710.

Almost surely, 2^37466440 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 37466440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46335870).

37466440 is an abundant number, since it is smaller than the sum of its proper divisors (55205300).

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

37466440 is a wasteful number, since it uses less digits than its factorization.

37466440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7774 (or 7759 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 37466440 is about 6120.9835810922. The cubic root of 37466440 is about 334.6165955964.

The spelling of 37466440 in words is "thirty-seven million, four hundred sixty-six thousand, four hundred forty".