38034752 has 56 divisors (see below), whose sum is σ = 87514176. Its totient is φ = 16063488.

The previous prime is 38034727. The next prime is 38034769. The reversal of 38034752 is 25743083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32123 + ... + 33285.

Almost surely, 2^38034752 is an apocalyptic number.

38034752 is a gapful number since it is divisible by the number (32) 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 38034752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43757088).

38034752 is an abundant number, since it is smaller than the sum of its proper divisors (49479424).

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

38034752 is a wasteful number, since it uses less digits than its factorization.

38034752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 38034752 is about 6167.2321182196. The cubic root of 38034752 is about 336.2999966194.

It can be divided in two parts, 3803475 and 2, that multiplied together give a triangular number (7606950 = T₃₉₀₀).

The spelling of 38034752 in words is "thirty-eight million, thirty-four thousand, seven hundred fifty-two".