3196400064 has 224 divisors, whose sum is σ = 10151156736. Its totient is φ = 874721280.

The previous prime is 3196400041. The next prime is 3196400071. The reversal of 3196400064 is 4600046913.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 3196399998 and 3196400034.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1289194 + ... + 1291670.

It is an arithmetic number, because the mean of its divisors is an integer number (45317664).

Almost surely, 2^3196400064 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 3196400064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075578368).

3196400064 is an abundant number, since it is smaller than the sum of its proper divisors (6954756672).

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

3196400064 is a wasteful number, since it uses less digits than its factorization.

3196400064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3196400064 is about 56536.7143014166. The cubic root of 3196400064 is about 1473.0597972064.

Adding to 3196400064 its reverse (4600046913), we get a palindrome (7796446977).

The spelling of 3196400064 in words is "three billion, one hundred ninety-six million, four hundred thousand, sixty-four".