3438196365672 has 160 divisors (see below), whose sum is σ = 9994673858400. Its totient is φ = 1102939721856.

The previous prime is 3438196365649. The next prime is 3438196365677. The reversal of 3438196365672 is 2765636918343.

3438196365672 is a `hidden beast` number, since 3 + 4 + 3 + 8 + 1 + 9 + 63 + 6 + 567 + 2 = 666.

It is a super-3 number, since 3×3438196365672³ (a number of 39 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3438196365677) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5471163 + ... + 6067125.

It is an arithmetic number, because the mean of its divisors is an integer number (62466711615).

Almost surely, 2^{3438196365672} 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 3438196365672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4997336929200).

3438196365672 is an abundant number, since it is smaller than the sum of its proper divisors (6556477492728).

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

3438196365672 is a wasteful number, since it uses less digits than its factorization.

3438196365672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596317 (or 596304 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 3438196365672 in words is "three trillion, four hundred thirty-eight billion, one hundred ninety-six million, three hundred sixty-five thousand, six hundred seventy-two".