3496820640 has 192 divisors, whose sum is σ = 11537842176. Its totient is φ = 888538112.

The previous prime is 3496820623. The next prime is 3496820641. The reversal of 3496820640 is 460286943.

It is a happy number.

3496820640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3496820592 and 3496820601.

It is not an unprimeable number, because it can be changed into a prime (3496820641) 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, 4227907 + ... + 4228733.

It is an arithmetic number, because the mean of its divisors is an integer number (60092928).

Almost surely, 2^3496820640 is an apocalyptic number.

3496820640 is a gapful number since it is divisible by the number (30) 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 3496820640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5768921088).

3496820640 is an abundant number, since it is smaller than the sum of its proper divisors (8041021536).

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

3496820640 is a wasteful number, since it uses less digits than its factorization.

3496820640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 3496820640 is about 59133.9212296969. The cubic root of 3496820640 is about 1517.8346128755.

The spelling of 3496820640 in words is "three billion, four hundred ninety-six million, eight hundred twenty thousand, six hundred forty".