3426107262480 has 480 divisors, whose sum is σ = 13352127909120. Its totient is φ = 771145297920.

The previous prime is 3426107262451. The next prime is 3426107262509. The reversal of 3426107262480 is 842627016243.

It is a happy number.

3426107262480 is a `hidden beast` number, since 3 + 4 + 2 + 6 + 10 + 7 + 2 + 624 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3426107262451) and next prime (3426107262509).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89526550 + ... + 89564810.

It is an arithmetic number, because the mean of its divisors is an integer number (27816933144).

Almost surely, 2^{3426107262480} is an apocalyptic number.

3426107262480 is a gapful number since it is divisible by the number (30) 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 3426107262480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6676063954560).

3426107262480 is an abundant number, since it is smaller than the sum of its proper divisors (9926020646640).

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

3426107262480 is a wasteful number, since it uses less digits than its factorization.

3426107262480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38559 (or 38550 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 3426107262480 in words is "three trillion, four hundred twenty-six billion, one hundred seven million, two hundred sixty-two thousand, four hundred eighty".