38334352 has 80 divisors (see below), whose sum is σ = 89549824. Its totient is φ = 15552000.

The previous prime is 38334341. The next prime is 38334367. The reversal of 38334352 is 25343383.

It is a super-3 number, since 3×38334352³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

Its product of digits (25920) is a multiple of the sum of its prime factors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211702 + ... + 211882.

Almost surely, 2^38334352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38334352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44774912).

38334352 is an abundant number, since it is smaller than the sum of its proper divisors (51215472).

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

38334352 is a wasteful number, since it uses less digits than its factorization.

38334352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 282 counting only the distinct ones).

The product of its digits is 25920, while the sum is 31.

The square root of 38334352 is about 6191.4741378770. The cubic root of 38334352 is about 337.1807006671.

It can be divided in two parts, 3 and 8334352, that multiplied together give a triangular number (25003056 = T₇₀₇₁).

The spelling of 38334352 in words is "thirty-eight million, three hundred thirty-four thousand, three hundred fifty-two".