32961489408 has 400 divisors, whose sum is σ = 105463116000. Its totient is φ = 10218037248.

The previous prime is 32961489371. The next prime is 32961489419. The reversal of 32961489408 is 80498416923.

32961489408 is a `hidden beast` number, since 3 + 2 + 96 + 148 + 9 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46489758 + ... + 46490466.

It is an arithmetic number, because the mean of its divisors is an integer number (263657790).

Almost surely, 2^32961489408 is an apocalyptic number.

32961489408 is a gapful number since it is divisible by the number (38) 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 32961489408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52731558000).

32961489408 is an abundant number, since it is smaller than the sum of its proper divisors (72501626592).

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

32961489408 is an equidigital number, since it uses as much as digits as its factorization.

32961489408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 32961489408 in words is "thirty-two billion, nine hundred sixty-one million, four hundred eighty-nine thousand, four hundred eight".