3439746048 has 176 divisors, whose sum is σ = 9691971840. Its totient is φ = 1082425344.

The previous prime is 3439746047. The next prime is 3439746049. The reversal of 3439746048 is 8406479343.

It is an interprime number because it is at equal distance from previous prime (3439746047) and next prime (3439746049).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3439745988 and 3439746006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3439746041) 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 15 ways as a sum of consecutive naturals, for example, 6288111 + ... + 6288657.

Almost surely, 2^3439746048 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 3439746048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4845985920).

3439746048 is an abundant number, since it is smaller than the sum of its proper divisors (6252225792).

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

3439746048 is a wasteful number, since it uses less digits than its factorization.

3439746048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The square root of 3439746048 is about 58649.3482316726. The cubic root of 3439746048 is about 1509.5313148571.

The spelling of 3439746048 in words is "three billion, four hundred thirty-nine million, seven hundred forty-six thousand, forty-eight".