3496848768 has 384 divisors, whose sum is σ = 12538656000. Its totient is φ = 912715776.

The previous prime is 3496848743. The next prime is 3496848781. The reversal of 3496848768 is 8678486943.

3496848768 is a `hidden beast` number, since 3 + 4 + 96 + 8 + 487 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4442871 + ... + 4443657.

It is an arithmetic number, because the mean of its divisors is an integer number (32652750).

Almost surely, 2^3496848768 is an apocalyptic number.

3496848768 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 3496848768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6269328000).

3496848768 is an abundant number, since it is smaller than the sum of its proper divisors (9041807232).

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

3496848768 is a wasteful number, since it uses less digits than its factorization.

3496848768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 847 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The square root of 3496848768 is about 59134.1590622544. The cubic root of 3496848768 is about 1517.8386826236.

The spelling of 3496848768 in words is "three billion, four hundred ninety-six million, eight hundred forty-eight thousand, seven hundred sixty-eight".