38679840 has 72 divisors (see below), whose sum is σ = 131999868. Its totient is φ = 10314240.

The previous prime is 38679827. The next prime is 38679841. The reversal of 38679840 is 4897683.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33315984 + 5363856 = 5772^2 + 2316^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×38679840² = 2992260044851200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38679841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11991 + ... + 14870.

Almost surely, 2^38679840 is an apocalyptic number.

38679840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38679840 is an abundant number, since it is smaller than the sum of its proper divisors (93320028).

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

38679840 is a wasteful number, since it uses less digits than its factorization.

38679840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26882 (or 26871 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 38679840 is about 6219.3118590404. The cubic root of 38679840 is about 338.1906187600.

The spelling of 38679840 in words is "thirty-eight million, six hundred seventy-nine thousand, eight hundred forty".