3483217920 has 624 divisors, whose sum is σ = 14118662880. Its totient is φ = 726663168.

The previous prime is 3483217879. The next prime is 3483217931. The reversal of 3483217920 is 297123843.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39137236 + ... + 39137324.

Almost surely, 2^3483217920 is an apocalyptic number.

3483217920 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 3483217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7059331440).

3483217920 is an abundant number, since it is smaller than the sum of its proper divisors (10635444960).

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

3483217920 is a wasteful number, since it uses less digits than its factorization.

3483217920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 3483217920 is about 59018.7929391986. The cubic root of 3483217920 is about 1515.8639170716.

The spelling of 3483217920 in words is "three billion, four hundred eighty-three million, two hundred seventeen thousand, nine hundred twenty".