3434201213520 has 640 divisors, whose sum is σ = 14039903674368. Its totient is φ = 673217740800.

The previous prime is 3434201213507. The next prime is 3434201213561. The reversal of 3434201213520 is 253121024343.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 30972580 + ... + 31083260.

Almost surely, 2^{3434201213520} is an apocalyptic number.

3434201213520 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 3434201213520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7019951837184).

3434201213520 is an abundant number, since it is smaller than the sum of its proper divisors (10605702460848).

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

3434201213520 is a wasteful number, since it uses less digits than its factorization.

3434201213520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110811 (or 110805 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 3434201213520 its reverse (253121024343), we get a palindrome (3687322237863).

The spelling of 3434201213520 in words is "three trillion, four hundred thirty-four billion, two hundred one million, two hundred thirteen thousand, five hundred twenty".