3432660000 has 480 divisors, whose sum is σ = 14057100288. Its totient is φ = 712320000.

The previous prime is 3432659983. The next prime is 3432660017. The reversal of 3432660000 is 662343.

It is an interprime number because it is at equal distance from previous prime (3432659983) and next prime (3432660017).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4619629 + ... + 4620371.

Almost surely, 2^3432660000 is an apocalyptic number.

3432660000 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 3432660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7028550144).

3432660000 is an abundant number, since it is smaller than the sum of its proper divisors (10624440288).

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

3432660000 is a wasteful number, since it uses less digits than its factorization.

3432660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3432660000 is about 58588.9067998371. The cubic root of 3432660000 is about 1508.4940323749.

The spelling of 3432660000 in words is "three billion, four hundred thirty-two million, six hundred sixty thousand".