3840795840 has 448 divisors, whose sum is σ = 14606991360. Its totient is φ = 836628480.

The previous prime is 3840795817. The next prime is 3840795857. The reversal of 3840795840 is 485970483.

3840795840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3840795840² = 29503425369122611200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3840795840.

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, 21456871 + ... + 21457049.

Almost surely, 2^3840795840 is an apocalyptic number.

3840795840 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 3840795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7303495680).

3840795840 is an abundant number, since it is smaller than the sum of its proper divisors (10766195520).

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

3840795840 is a wasteful number, since it uses less digits than its factorization.

3840795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 3840795840 is about 61974.1546130320. The cubic root of 3840795840 is about 1566.0552298374.

The spelling of 3840795840 in words is "three billion, eight hundred forty million, seven hundred ninety-five thousand, eight hundred forty".