3874306464 has 288 divisors, whose sum is σ = 13197824640. Its totient is φ = 1095109632.

The previous prime is 3874306463. The next prime is 3874306517. The reversal of 3874306464 is 4646034783.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (3874306463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5932762 + ... + 5933414.

It is an arithmetic number, because the mean of its divisors is an integer number (45825780).

Almost surely, 2^3874306464 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 3874306464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6598912320).

3874306464 is an abundant number, since it is smaller than the sum of its proper divisors (9323518176).

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

3874306464 is a wasteful number, since it uses less digits than its factorization.

3874306464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The square root of 3874306464 is about 62243.9271254634. The cubic root of 3874306464 is about 1570.5966147737.

The spelling of 3874306464 in words is "three billion, eight hundred seventy-four million, three hundred six thousand, four hundred sixty-four".