3449628864 has 224 divisors, whose sum is σ = 11158118400. Its totient is φ = 1036385280.

The previous prime is 3449628859. The next prime is 3449628869. The reversal of 3449628864 is 4688269443.

3449628864 is a `hidden beast` number, since 3 + 4 + 4 + 9 + 628 + 8 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3449628859) and next prime (3449628869).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3449628864.

It is not an unprimeable number, because it can be changed into a prime (3449628869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2413302 + ... + 2414730.

Almost surely, 2^3449628864 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 3449628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5579059200).

3449628864 is an abundant number, since it is smaller than the sum of its proper divisors (7708489536).

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

3449628864 is a wasteful number, since it uses less digits than its factorization.

3449628864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1572 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 3449628864 is about 58733.5412179446. The cubic root of 3449628864 is about 1510.9756225953.

The spelling of 3449628864 in words is "three billion, four hundred forty-nine million, six hundred twenty-eight thousand, eight hundred sixty-four".