3821070960 has 720 divisors, whose sum is σ = 16552351296. Its totient is φ = 783433728.

The previous prime is 3821070959. The next prime is 3821070961. The reversal of 3821070960 is 690701283.

It is an interprime number because it is at equal distance from previous prime (3821070959) and next prime (3821070961).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3821070961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13794342 + ... + 13794618.

Almost surely, 2^3821070960 is an apocalyptic number.

3821070960 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 3821070960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8276175648).

3821070960 is an abundant number, since it is smaller than the sum of its proper divisors (12731280336).

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

3821070960 is a wasteful number, since it uses less digits than its factorization.

3821070960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3821070960 is about 61814.8118172336. The cubic root of 3821070960 is about 1563.3697375251.

The spelling of 3821070960 in words is "three billion, eight hundred twenty-one million, seventy thousand, nine hundred sixty".