37649472 has 112 divisors (see below), whose sum is σ = 115336320. Its totient is φ = 10616832.

The previous prime is 37649419. The next prime is 37649477. The reversal of 37649472 is 27494673.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (254016) is a multiple of the sum of its prime divisors (378).

It is not an unprimeable number, because it can be changed into a prime (37649477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146368 + ... + 146624.

Almost surely, 2^37649472 is an apocalyptic number.

37649472 is a gapful number since it is divisible by the number (32) 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 37649472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57668160).

37649472 is an abundant number, since it is smaller than the sum of its proper divisors (77686848).

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

37649472 is a wasteful number, since it uses less digits than its factorization.

37649472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 378 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 37649472 is about 6135.9165574509. The cubic root of 37649472 is about 335.1606031737.

The spelling of 37649472 in words is "thirty-seven million, six hundred forty-nine thousand, four hundred seventy-two".