37875000 has 112 divisors (see below), whose sum is σ = 119529720. Its totient is φ = 10000000.

The previous prime is 37874983. The next prime is 37875017. The reversal of 37875000 is 57873.

It is an interprime number because it is at equal distance from previous prime (37874983) and next prime (37875017).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 374950 + ... + 375050.

Almost surely, 2^37875000 is an apocalyptic number.

37875000 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 37875000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59764860).

37875000 is an abundant number, since it is smaller than the sum of its proper divisors (81654720).

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

37875000 is an equidigital number, since it uses as much as digits as its factorization.

37875000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 37875000 is about 6154.2668125456. The cubic root of 37875000 is about 335.8284980774.

The spelling of 37875000 in words is "thirty-seven million, eight hundred seventy-five thousand".