3841476240 has 320 divisors, whose sum is σ = 14439075840. Its totient is φ = 825292800.

The previous prime is 3841476217. The next prime is 3841476293. The reversal of 3841476240 is 426741483.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4819522 + ... + 4820318.

It is an arithmetic number, because the mean of its divisors is an integer number (45122112).

Almost surely, 2^3841476240 is an apocalyptic number.

3841476240 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 3841476240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7219537920).

3841476240 is an abundant number, since it is smaller than the sum of its proper divisors (10597599600).

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

3841476240 is a wasteful number, since it uses less digits than its factorization.

3841476240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 3841476240 is about 61979.6437550265. The cubic root of 3841476240 is about 1566.1477003486.

The spelling of 3841476240 in words is "three billion, eight hundred forty-one million, four hundred seventy-six thousand, two hundred forty".