3428617061376 has 528 divisors, whose sum is σ = 11078516100288. Its totient is φ = 1052857958400.

The previous prime is 3428617061369. The next prime is 3428617061381. The reversal of 3428617061376 is 6731607168243.

It is a happy number.

3428617061376 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 6 + 17 + 0 + 613 + 7 + 6 = 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 47 ways as a sum of consecutive naturals, for example, 2655783291 + ... + 2655784581.

Almost surely, 2^{3428617061376} is an apocalyptic number.

3428617061376 is a gapful number since it is divisible by the number (36) 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 3428617061376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5539258050144).

3428617061376 is an abundant number, since it is smaller than the sum of its proper divisors (7649899038912).

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

3428617061376 is a wasteful number, since it uses less digits than its factorization.

3428617061376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 3428617061376 in words is "three trillion, four hundred twenty-eight billion, six hundred seventeen million, sixty-one thousand, three hundred seventy-six".