3456469968 has 160 divisors (see below), whose sum is σ = 10903587840. Its totient is φ = 921507840.

The previous prime is 3456469957. The next prime is 3456469979. The reversal of 3456469968 is 8699646543.

It is an interprime number because it is at equal distance from previous prime (3456469957) and next prime (3456469979).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423688 + ... + 431768.

It is an arithmetic number, because the mean of its divisors is an integer number (68147424).

Almost surely, 2^3456469968 is an apocalyptic number.

3456469968 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3456469968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5451793920).

3456469968 is an abundant number, since it is smaller than the sum of its proper divisors (7447117872).

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

3456469968 is a wasteful number, since it uses less digits than its factorization.

3456469968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8185 (or 8179 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 60.

The square root of 3456469968 is about 58791.7508499279. The cubic root of 3456469968 is about 1511.9737894731.

The spelling of 3456469968 in words is "three billion, four hundred fifty-six million, four hundred sixty-nine thousand, nine hundred sixty-eight".