38354609160 has 1024 divisors, whose sum is σ = 165473280000. Its totient is φ = 7691894784.

The previous prime is 38354609113. The next prime is 38354609191. The reversal of 38354609160 is 6190645383.

38354609160 is a `hidden beast` number, since 3 + 8 + 35 + 4 + 609 + 1 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 275932371 + ... + 275932509.

It is an arithmetic number, because the mean of its divisors is an integer number (161595000).

Almost surely, 2^38354609160 is an apocalyptic number.

38354609160 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 38354609160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82736640000).

38354609160 is an abundant number, since it is smaller than the sum of its proper divisors (127118670840).

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

38354609160 is a wasteful number, since it uses less digits than its factorization.

38354609160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 38354609160 in words is "thirty-eight billion, three hundred fifty-four million, six hundred nine thousand, one hundred sixty".