3400686648 has 96 divisors (see below), whose sum is σ = 9445962240. Its totient is φ = 1104667200.

The previous prime is 3400686637. The next prime is 3400686649. The reversal of 3400686648 is 8466860043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400686649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1742073 + ... + 1744023.

It is an arithmetic number, because the mean of its divisors is an integer number (98395440).

Almost surely, 2^3400686648 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 3400686648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722981120).

3400686648 is an abundant number, since it is smaller than the sum of its proper divisors (6045275592).

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

3400686648 is a wasteful number, since it uses less digits than its factorization.

3400686648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 3400686648 is about 58315.4066092315. The cubic root of 3400686648 is about 1503.7958157528.

The spelling of 3400686648 in words is "three billion, four hundred million, six hundred eighty-six thousand, six hundred forty-eight".