38746620 has 144 divisors (see below), whose sum is σ = 132723360. Its totient is φ = 9377280.

The previous prime is 38746601. The next prime is 38746627. The reversal of 38746620 is 2664783.

It is a super-2 number, since 2×38746620² = 3002601122848800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38746627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65044 + ... + 65636.

It is an arithmetic number, because the mean of its divisors is an integer number (921690).

Almost surely, 2^38746620 is an apocalyptic number.

38746620 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 38746620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66361680).

38746620 is an abundant number, since it is smaller than the sum of its proper divisors (93976740).

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

38746620 is a wasteful number, since it uses less digits than its factorization.

38746620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 38746620 is about 6224.6783049407. The cubic root of 38746620 is about 338.3851333945.

The spelling of 38746620 in words is "thirty-eight million, seven hundred forty-six thousand, six hundred twenty".