3262728672 has 576 divisors, whose sum is σ = 12046454784. Its totient is φ = 816168960.

The previous prime is 3262728661. The next prime is 3262728683. The reversal of 3262728672 is 2768272623.

It is an interprime number because it is at equal distance from previous prime (3262728661) and next prime (3262728683).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39309943 + ... + 39310025.

It is an arithmetic number, because the mean of its divisors is an integer number (20913984).

Almost surely, 2^3262728672 is an apocalyptic number.

3262728672 is a gapful number since it is divisible by the number (32) 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 3262728672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6023227392).

3262728672 is an abundant number, since it is smaller than the sum of its proper divisors (8783726112).

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

3262728672 is a wasteful number, since it uses less digits than its factorization.

3262728672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 180 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 3262728672 is about 57120.2999992122. The cubic root of 3262728672 is about 1483.1792915770.

The spelling of 3262728672 in words is "three billion, two hundred sixty-two million, seven hundred twenty-eight thousand, six hundred seventy-two".