383980746240 has 3360 divisors, whose sum is σ = 1927313831520. Its totient is φ = 72236924928.

The previous prime is 383980746229. The next prime is 383980746251. The reversal of 383980746240 is 42647089383.

383980746240 is a `hidden beast` number, since 3 + 8 + 3 + 9 + 8 + 0 + 7 + 4 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (383980746229) and next prime (383980746251).

It is a tau number, because it is divible by the number of its divisors (3360).

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 polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 20209512951 + ... + 20209512969.

It is an arithmetic number, because the mean of its divisors is an integer number (573605307).

Almost surely, 2^383980746240 is an apocalyptic number.

383980746240 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 383980746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963656915760).

383980746240 is an abundant number, since it is smaller than the sum of its proper divisors (1543333085280).

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

383980746240 is a wasteful number, since it uses less digits than its factorization.

383980746240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 383980746240 in words is "three hundred eighty-three billion, nine hundred eighty million, seven hundred forty-six thousand, two hundred forty".