38032740 has 120 divisors (see below), whose sum is σ = 126419832. Its totient is φ = 9538560.

The previous prime is 38032739. The next prime is 38032741. The reversal of 38032740 is 4723083.

It is an interprime number because it is at equal distance from previous prime (38032739) and next prime (38032741).

It can be written as a sum of positive squares in 4 ways, for example, as 7096896 + 30935844 = 2664^2 + 5562^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (38032741) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26850 + ... + 28230.

Almost surely, 2^38032740 is an apocalyptic number.

38032740 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 38032740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63209916).

38032740 is an abundant number, since it is smaller than the sum of its proper divisors (88387092).

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

38032740 is a wasteful number, since it uses less digits than its factorization.

38032740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 38032740 is about 6167.0689958845. The cubic root of 38032740 is about 336.2940665381.

The spelling of 38032740 in words is "thirty-eight million, thirty-two thousand, seven hundred forty".