3840151040 has 320 divisors, whose sum is σ = 10691315712. Its totient is φ = 1309900800.

The previous prime is 3840151039. The next prime is 3840151043. The reversal of 3840151040 is 401510483.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3840151043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46266839 + ... + 46266921.

Almost surely, 2^3840151040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3840151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5345657856).

3840151040 is an abundant number, since it is smaller than the sum of its proper divisors (6851164672).

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

3840151040 is a wasteful number, since it uses less digits than its factorization.

3840151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 3840151040 is about 61968.9522260946. The cubic root of 3840151040 is about 1565.9675875042.

The spelling of 3840151040 in words is "three billion, eight hundred forty million, one hundred fifty-one thousand, forty".