38577630 has 96 divisors (see below), whose sum is σ = 114683904. Its totient is φ = 8131968.

The previous prime is 38577613. The next prime is 38577661. The reversal of 38577630 is 3677583.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34947 + ... + 36033.

It is an arithmetic number, because the mean of its divisors is an integer number (1194624).

Almost surely, 2^38577630 is an apocalyptic number.

38577630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38577630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57341952).

38577630 is an abundant number, since it is smaller than the sum of its proper divisors (76106274).

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

38577630 is a wasteful number, since it uses less digits than its factorization.

38577630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 38577630 is about 6211.0892764474. The cubic root of 38577630 is about 337.8924707259.

The spelling of 38577630 in words is "thirty-eight million, five hundred seventy-seven thousand, six hundred thirty".