38252820 has 48 divisors (see below), whose sum is σ = 110009088. Its totient is φ = 9924480.

The previous prime is 38252813. The next prime is 38252867. The reversal of 38252820 is 2825283.

38252820 = T₂₅₇ + T₂₅₈ + ... + T₆₂₆.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6396 + ... + 10835.

It is an arithmetic number, because the mean of its divisors is an integer number (2291856).

Almost surely, 2^38252820 is an apocalyptic number.

38252820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38252820 is an abundant number, since it is smaller than the sum of its proper divisors (71756268).

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

38252820 is a wasteful number, since it uses less digits than its factorization.

38252820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17280 (or 17278 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 38252820 is about 6184.8864177121. The cubic root of 38252820 is about 336.9414850254.

The spelling of 38252820 in words is "thirty-eight million, two hundred fifty-two thousand, eight hundred twenty".