3403077195672 has 768 divisors, whose sum is σ = 12666557030400. Its totient is φ = 829192826880.

The previous prime is 3403077195629. The next prime is 3403077195673. The reversal of 3403077195672 is 2765917703043.

3403077195672 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 0 + 7 + 71 + 9 + 567 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3403077195673) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 292933608 + ... + 292945224.

It is an arithmetic number, because the mean of its divisors is an integer number (16492912800).

Almost surely, 2^{3403077195672} 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 3403077195672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6333278515200).

3403077195672 is an abundant number, since it is smaller than the sum of its proper divisors (9263479834728).

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

3403077195672 is a wasteful number, since it uses less digits than its factorization.

3403077195672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11778 (or 11762 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 3403077195672 in words is "three trillion, four hundred three billion, seventy-seven million, one hundred ninety-five thousand, six hundred seventy-two".