42737840 has 80 divisors (see below), whose sum is σ = 108088320. Its totient is φ = 15655680.

The previous prime is 42737831. The next prime is 42737857. The reversal of 42737840 is 4873724.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 42737840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46667 + ... + 47573.

It is an arithmetic number, because the mean of its divisors is an integer number (1351104).

Almost surely, 2^42737840 is an apocalyptic number.

42737840 is a gapful number since it is divisible by the number (40) 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 42737840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54044160).

42737840 is an abundant number, since it is smaller than the sum of its proper divisors (65350480).

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

42737840 is a wasteful number, since it uses less digits than its factorization.

42737840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The square root of 42737840 is about 6537.4184507342. The cubic root of 42737840 is about 349.6263768113.

The spelling of 42737840 in words is "forty-two million, seven hundred thirty-seven thousand, eight hundred forty".