38751840 has 144 divisors (see below), whose sum is σ = 140107968. Its totient is φ = 9719808.

The previous prime is 38751833. The next prime is 38751863. The reversal of 38751840 is 4815783.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 38751795 and 38751804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23689 + ... + 25271.

It is an arithmetic number, because the mean of its divisors is an integer number (972972).

Almost surely, 2^38751840 is an apocalyptic number.

38751840 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 38751840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70053984).

38751840 is an abundant number, since it is smaller than the sum of its proper divisors (101356128).

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

38751840 is a wasteful number, since it uses less digits than its factorization.

38751840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 38751840 is about 6225.0975895965. The cubic root of 38751840 is about 338.4003286216.

The spelling of 38751840 in words is "thirty-eight million, seven hundred fifty-one thousand, eight hundred forty".