37849140 has 384 divisors, whose sum is σ = 154828800. Its totient is φ = 7464960.

The previous prime is 37849139. The next prime is 37849151. The reversal of 37849140 is 4194873.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 37849095 and 37849104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1220925 + ... + 1220955.

It is an arithmetic number, because the mean of its divisors is an integer number (403200).

Almost surely, 2^37849140 is an apocalyptic number.

37849140 is a gapful number since it is divisible by the number (30) 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 37849140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77414400).

37849140 is an abundant number, since it is smaller than the sum of its proper divisors (116979660).

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

37849140 is a wasteful number, since it uses less digits than its factorization.

37849140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 37849140 is about 6152.1654724170. The cubic root of 37849140 is about 335.7520492129.

The spelling of 37849140 in words is "thirty-seven million, eight hundred forty-nine thousand, one hundred forty".