38526408 has 64 divisors (see below), whose sum is σ = 107740800. Its totient is φ = 12755520.

The previous prime is 38526401. The next prime is 38526427. The reversal of 38526408 is 80462583.

38526408 is a `hidden beast` number, since 3 + 8 + 5 + 2 + 640 + 8 = 666.

It is a super-2 number, since 2×38526408² = 2968568226764928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (38526401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36853 + ... + 37883.

It is an arithmetic number, because the mean of its divisors is an integer number (1683450).

Almost surely, 2^38526408 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 38526408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53870400).

38526408 is an abundant number, since it is smaller than the sum of its proper divisors (69214392).

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

38526408 is a wasteful number, since it uses less digits than its factorization.

38526408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 38526408 is about 6206.9644754904. The cubic root of 38526408 is about 337.7428573023.

The spelling of 38526408 in words is "thirty-eight million, five hundred twenty-six thousand, four hundred eight".