385724946240 has 896 divisors, whose sum is σ = 1534655808000. Its totient is φ = 90625277952.

The previous prime is 385724946199. The next prime is 385724946281. The reversal of 385724946240 is 42649427583.

It is a happy number.

385724946240 is a `hidden beast` number, since 3 + 8 + 5 + 7 + 2 + 4 + 9 + 4 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (385724946199) and next prime (385724946281).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 248373304 + ... + 248374856.

It is an arithmetic number, because the mean of its divisors is an integer number (1712785500).

Almost surely, 2^385724946240 is an apocalyptic number.

385724946240 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 385724946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767327904000).

385724946240 is an abundant number, since it is smaller than the sum of its proper divisors (1148930861760).

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

385724946240 is a wasteful number, since it uses less digits than its factorization.

385724946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 385724946240 in words is "three hundred eighty-five billion, seven hundred twenty-four million, nine hundred forty-six thousand, two hundred forty".