3290481600 has 168 divisors, whose sum is σ = 12337865088. Its totient is φ = 752102400.

The previous prime is 3290481599. The next prime is 3290481613. The reversal of 3290481600 is 61840923.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15366 + ... + 82565.

Almost surely, 2^3290481600 is an apocalyptic number.

3290481600 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 3290481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168932544).

3290481600 is an abundant number, since it is smaller than the sum of its proper divisors (9047383488).

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

3290481600 is a wasteful number, since it uses less digits than its factorization.

3290481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97963 (or 97948 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3290481600 is about 57362.7196008000. The cubic root of 3290481600 is about 1487.3727556339.

The spelling of 3290481600 in words is "three billion, two hundred ninety million, four hundred eighty-one thousand, six hundred".