3484103426766 has 128 divisors (see below), whose sum is σ = 8247350016000. Its totient is φ = 1086462968832.

The previous prime is 3484103426753. The next prime is 3484103426767. The reversal of 3484103426766 is 6676243014843.

3484103426766 is a `hidden beast` number, since 3 + 48 + 4 + 103 + 426 + 76 + 6 = 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 (3484103426767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 612425250 + ... + 612430938.

It is an arithmetic number, because the mean of its divisors is an integer number (64432422000).

Almost surely, 2^{3484103426766} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3484103426766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123675008000).

3484103426766 is an abundant number, since it is smaller than the sum of its proper divisors (4763246589234).

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

3484103426766 is a wasteful number, since it uses less digits than its factorization.

3484103426766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9623 (or 9617 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 3484103426766 in words is "three trillion, four hundred eighty-four billion, one hundred three million, four hundred twenty-six thousand, seven hundred sixty-six".