3820745970 has 256 divisors, whose sum is σ = 11147673600. Its totient is φ = 928350720.

The previous prime is 3820745921. The next prime is 3820745977. The reversal of 3820745970 is 795470283.

3820745970 is a `hidden beast` number, since 38 + 20 + 7 + 4 + 597 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3820745977) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17133279 + ... + 17133501.

It is an arithmetic number, because the mean of its divisors is an integer number (43545600).

Almost surely, 2^3820745970 is an apocalyptic number.

3820745970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3820745970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573836800).

3820745970 is an abundant number, since it is smaller than the sum of its proper divisors (7326927630).

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

3820745970 is a wasteful number, since it uses less digits than its factorization.

3820745970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 3820745970 is about 61812.1830224431. The cubic root of 3820745970 is about 1563.3254136570.

The spelling of 3820745970 in words is "three billion, eight hundred twenty million, seven hundred forty-five thousand, nine hundred seventy".