3214953984 has 160 divisors (see below), whose sum is σ = 9750875904. Its totient is φ = 931758080.

The previous prime is 3214953971. The next prime is 3214953991. The reversal of 3214953984 is 4893594123.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 384472 + ... + 392744.

Almost surely, 2^3214953984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3214953984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4875437952).

3214953984 is an abundant number, since it is smaller than the sum of its proper divisors (6535921920).

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

3214953984 is a wasteful number, since it uses less digits than its factorization.

3214953984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8328 (or 8312 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 3214953984 is about 56700.5642299969. The cubic root of 3214953984 is about 1475.9044892332.

The spelling of 3214953984 in words is "three billion, two hundred fourteen million, nine hundred fifty-three thousand, nine hundred eighty-four".