34226488146240 has 896 divisors, whose sum is σ = 136983264768000. Its totient is φ = 7975258693632.

The previous prime is 34226488146203. The next prime is 34226488146377. The reversal of 34226488146240 is 4264188462243.

34226488146240 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 6 + 4 + 8 + 8 + 1 + 4 + 624 + 0 = 666.

It is a super-2 number, since 2×34226488146240² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 3045326541 + ... + 3045337779.

It is an arithmetic number, because the mean of its divisors is an integer number (152883108000).

Almost surely, 2^{34226488146240} is an apocalyptic number.

34226488146240 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 34226488146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68491632384000).

34226488146240 is an abundant number, since it is smaller than the sum of its proper divisors (102756776621760).

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

34226488146240 is a wasteful number, since it uses less digits than its factorization.

34226488146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12724 (or 12708 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 54.

The spelling of 34226488146240 in words is "thirty-four trillion, two hundred twenty-six billion, four hundred eighty-eight million, one hundred forty-six thousand, two hundred forty".