38451960 has 192 divisors, whose sum is σ = 135794880. Its totient is φ = 9400320.

The previous prime is 38451949. The next prime is 38451961. The reversal of 38451960 is 6915483.

38451960 is a `hidden beast` number, since 3 + 84 + 519 + 60 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38451961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373269 + ... + 373371.

It is an arithmetic number, because the mean of its divisors is an integer number (707265).

Almost surely, 2^38451960 is an apocalyptic number.

38451960 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 38451960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67897440).

38451960 is an abundant number, since it is smaller than the sum of its proper divisors (97342920).

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

38451960 is a wasteful number, since it uses less digits than its factorization.

38451960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 38451960 is about 6200.9644411172. The cubic root of 38451960 is about 337.5251668476.

The spelling of 38451960 in words is "thirty-eight million, four hundred fifty-one thousand, nine hundred sixty".