38290917546 has 96 divisors (see below), whose sum is σ = 99252511488. Its totient is φ = 10431336960.

The previous prime is 38290917527. The next prime is 38290917583. The reversal of 38290917546 is 64571909283.

38290917546 is a `hidden beast` number, since 3 + 8 + 2 + 9 + 0 + 91 + 7 + 546 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38290917492 and 38290917501.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 897826 + ... + 939506.

It is an arithmetic number, because the mean of its divisors is an integer number (1033880328).

It is a 1-persistent number, because it is pandigital, but 2⋅38290917546 = 76581835092 is not.

Almost surely, 2^38290917546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38290917546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49626255744).

38290917546 is an abundant number, since it is smaller than the sum of its proper divisors (60961593942).

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

38290917546 is a wasteful number, since it uses less digits than its factorization.

38290917546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42036 (or 42033 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 38290917546 in words is "thirty-eight billion, two hundred ninety million, nine hundred seventeen thousand, five hundred forty-six".