38737440 has 360 divisors, whose sum is σ = 161638092. Its totient is φ = 8709120.

The previous prime is 38737423. The next prime is 38737471. The reversal of 38737440 is 4473783.

It can be written as a sum of positive squares in 2 ways, for example, as 33593616 + 5143824 = 5796^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 = 38737395 and 38737404.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 635010 + ... + 635070.

Almost surely, 2^38737440 is an apocalyptic number.

38737440 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 38737440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80819046).

38737440 is an abundant number, since it is smaller than the sum of its proper divisors (122900652).

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

38737440 is a wasteful number, since it uses less digits than its factorization.

38737440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 38737440 is about 6223.9408737551. The cubic root of 38737440 is about 338.3584074428.

The spelling of 38737440 in words is "thirty-eight million, seven hundred thirty-seven thousand, four hundred forty".