32954340672 has 280 divisors, whose sum is σ = 109454838240. Its totient is φ = 9715645440.

The previous prime is 32954340631. The next prime is 32954340697. The reversal of 32954340672 is 27604345923.

32954340672 is a `hidden beast` number, since 3 + 2 + 9 + 543 + 40 + 67 + 2 = 666.

It is a super-3 number, since 3×32954340672³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2102079 + ... + 2117697.

Almost surely, 2^32954340672 is an apocalyptic number.

32954340672 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 32954340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54727419120).

32954340672 is an abundant number, since it is smaller than the sum of its proper divisors (76500497568).

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

32954340672 is a wasteful number, since it uses less digits than its factorization.

32954340672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15691 (or 15672 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 32954340672 in words is "thirty-two billion, nine hundred fifty-four million, three hundred forty thousand, six hundred seventy-two".