3841978320 has 240 divisors, whose sum is σ = 13286774592. Its totient is φ = 994498560.

The previous prime is 3841978313. The next prime is 3841978333. The reversal of 3841978320 is 238791483.

3841978320 is a `hidden beast` number, since 384 + 197 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3841978320² = 29521594822700044800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3520975 + ... + 3522065.

Almost surely, 2^3841978320 is an apocalyptic number.

3841978320 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 3841978320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6643387296).

3841978320 is an abundant number, since it is smaller than the sum of its proper divisors (9444796272).

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

3841978320 is a wasteful number, since it uses less digits than its factorization.

3841978320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3841978320 is about 61983.6939847893. The cubic root of 3841978320 is about 1566.2159290826.

The spelling of 3841978320 in words is "three billion, eight hundred forty-one million, nine hundred seventy-eight thousand, three hundred twenty".