37983420 has 72 divisors (see below), whose sum is σ = 116560080. Its totient is φ = 10010880.

The previous prime is 37983409. The next prime is 37983431. The reversal of 37983420 is 2438973.

It is an interprime number because it is at equal distance from previous prime (37983409) and next prime (37983431).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14835 + ... + 17205.

It is an arithmetic number, because the mean of its divisors is an integer number (1618890).

Almost surely, 2^37983420 is an apocalyptic number.

37983420 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 37983420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58280040).

37983420 is an abundant number, since it is smaller than the sum of its proper divisors (78576660).

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

37983420 is a wasteful number, since it uses less digits than its factorization.

37983420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 37983420 is about 6163.0690406647. The cubic root of 37983420 is about 336.1486374683.

The spelling of 37983420 in words is "thirty-seven million, nine hundred eighty-three thousand, four hundred twenty".