3219649920 has 192 divisors, whose sum is σ = 11170224000. Its totient is φ = 854532096.

The previous prime is 3219649903. The next prime is 3219649973. The reversal of 3219649920 is 299469123.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3219649920² = 20732291214712012800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1340881 + ... + 1343279.

It is an arithmetic number, because the mean of its divisors is an integer number (58178250).

Almost surely, 2^3219649920 is an apocalyptic number.

3219649920 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 3219649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5585112000).

3219649920 is an abundant number, since it is smaller than the sum of its proper divisors (7950574080).

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

3219649920 is a wasteful number, since it uses less digits than its factorization.

3219649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 3219649920 is about 56741.9590779169. The cubic root of 3219649920 is about 1476.6227350014.

The spelling of 3219649920 in words is "three billion, two hundred nineteen million, six hundred forty-nine thousand, nine hundred twenty".