3290696640 has 1008 divisors, whose sum is σ = 15177576960. Its totient is φ = 638668800.

The previous prime is 3290696627. The next prime is 3290696653. The reversal of 3290696640 is 466960923.

It is an interprime number because it is at equal distance from previous prime (3290696627) and next prime (3290696653).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46347805 + ... + 46347875.

It is an arithmetic number, because the mean of its divisors is an integer number (15057120).

Almost surely, 2^3290696640 is an apocalyptic number.

3290696640 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 3290696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588788480).

3290696640 is an abundant number, since it is smaller than the sum of its proper divisors (11886880320).

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

3290696640 is a wasteful number, since it uses less digits than its factorization.

3290696640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3290696640 is about 57364.5939582945. The cubic root of 3290696640 is about 1487.4051559235.

The spelling of 3290696640 in words is "three billion, two hundred ninety million, six hundred ninety-six thousand, six hundred forty".