385346479140 has 432 divisors, whose sum is σ = 1413325210752. Its totient is φ = 87876762624.

The previous prime is 385346479109. The next prime is 385346479153. The reversal of 385346479140 is 41974643583.

385346479140 is a `hidden beast` number, since 3 + 8 + 53 + 464 + 7 + 91 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 119782812 + ... + 119786028.

It is an arithmetic number, because the mean of its divisors is an integer number (3271586136).

Almost surely, 2^385346479140 is an apocalyptic number.

385346479140 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 385346479140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706662605376).

385346479140 is an abundant number, since it is smaller than the sum of its proper divisors (1027978731612).

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

385346479140 is a wasteful number, since it uses less digits than its factorization.

385346479140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 385346479140 in words is "three hundred eighty-five billion, three hundred forty-six million, four hundred seventy-nine thousand, one hundred forty".