37949952 has 80 divisors (see below), whose sum is σ = 104493312. Its totient is φ = 12226560.

The previous prime is 37949909. The next prime is 37949957. The reversal of 37949952 is 25994973.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37949957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47218 + ... + 48014.

Almost surely, 2^37949952 is an apocalyptic number.

37949952 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 37949952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52246656).

37949952 is an abundant number, since it is smaller than the sum of its proper divisors (66543360).

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

37949952 is an equidigital number, since it uses as much as digits as its factorization.

37949952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 833 counting only the distinct ones).

The product of its digits is 612360, while the sum is 48.

The square root of 37949952 is about 6160.3532366253. The cubic root of 37949952 is about 336.0498792164.

The spelling of 37949952 in words is "thirty-seven million, nine hundred forty-nine thousand, nine hundred fifty-two".