37642420 has 48 divisors (see below), whose sum is σ = 88119360. Its totient is φ = 13423104.

The previous prime is 37642417. The next prime is 37642427. The reversal of 37642420 is 2424673.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37642427) 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, 3547 + ... + 9373.

It is an arithmetic number, because the mean of its divisors is an integer number (1835820).

Almost surely, 2^37642420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37642420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44059680).

37642420 is an abundant number, since it is smaller than the sum of its proper divisors (50476940).

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

37642420 is a wasteful number, since it uses less digits than its factorization.

37642420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5872 (or 5870 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 37642420 is about 6135.3418812646. The cubic root of 37642420 is about 335.1396759200.

The spelling of 37642420 in words is "thirty-seven million, six hundred forty-two thousand, four hundred twenty".