3845763840 has 72 divisors (see below), whose sum is σ = 12282420528. Its totient is φ = 1025536000.

The previous prime is 3845763763. The next prime is 3845763847. The reversal of 3845763840 is 483675483.

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 3845763840.

It is not an unprimeable number, because it can be changed into a prime (3845763847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 496911 + ... + 504590.

It is an arithmetic number, because the mean of its divisors is an integer number (170589174).

Almost surely, 2^3845763840 is an apocalyptic number.

3845763840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3845763840 is an abundant number, since it is smaller than the sum of its proper divisors (8436656688).

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

3845763840 is a wasteful number, since it uses less digits than its factorization.

3845763840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001525 (or 1001511 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The square root of 3845763840 is about 62014.2228847544. Note that the first 3 decimals coincide. The cubic root of 3845763840 is about 1566.7301602958.

The spelling of 3845763840 in words is "three billion, eight hundred forty-five million, seven hundred sixty-three thousand, eight hundred forty".