38692362240 has 576 divisors, whose sum is σ = 157497238080. Its totient is φ = 8599633920.

The previous prime is 38692362239. The next prime is 38692362257. The reversal of 38692362240 is 4226329683.

It is a happy number.

38692362240 is a `hidden beast` number, since 386 + 9 + 23 + 6 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×38692362240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 23868630 + ... + 23870250.

It is an arithmetic number, because the mean of its divisors is an integer number (273432705).

Almost surely, 2^38692362240 is an apocalyptic number.

38692362240 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 38692362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78748619040).

38692362240 is an abundant number, since it is smaller than the sum of its proper divisors (118804875840).

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

38692362240 is a wasteful number, since it uses less digits than its factorization.

38692362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 38692362240 in words is "thirty-eight billion, six hundred ninety-two million, three hundred sixty-two thousand, two hundred forty".