38734500 has 288 divisors, whose sum is σ = 143410176. Its totient is φ = 8064000.

The previous prime is 38734441. The next prime is 38734511. The reversal of 38734500 is 543783.

It is a super-2 number, since 2×38734500² = 3000722980500000, which contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 1249485 + ... + 1249515.

It is an arithmetic number, because the mean of its divisors is an integer number (497952).

Almost surely, 2^38734500 is an apocalyptic number.

38734500 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 38734500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71705088).

38734500 is an abundant number, since it is smaller than the sum of its proper divisors (104675676).

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

38734500 is a wasteful number, since it uses less digits than its factorization.

38734500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 38734500 is about 6223.7046845107. The cubic root of 38734500 is about 338.3498472584.

The spelling of 38734500 in words is "thirty-eight million, seven hundred thirty-four thousand, five hundred".