3483764820384 has 48 divisors (see below), whose sum is σ = 9146660691168. Its totient is φ = 1161029157632.

The previous prime is 3483764820383. The next prime is 3483764820413. The reversal of 3483764820384 is 4830284673843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (3483764820383) 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, 3031167 + ... + 4019390.

It is an arithmetic number, because the mean of its divisors is an integer number (190555431066).

Almost surely, 2^{3483764820384} is an apocalyptic number.

It is an amenable number.

3483764820384 is an abundant number, since it is smaller than the sum of its proper divisors (5662895870784).

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

3483764820384 is a wasteful number, since it uses less digits than its factorization.

3483764820384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7055717 (or 7055709 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 60.

The spelling of 3483764820384 in words is "three trillion, four hundred eighty-three billion, seven hundred sixty-four million, eight hundred twenty thousand, three hundred eighty-four".