3534138251520 has 144 divisors (see below), whose sum is σ = 11295967257792. Its totient is φ = 941700997120.

The previous prime is 3534138251491. The next prime is 3534138251557. The reversal of 3534138251520 is 251528314353.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4568050 + ... + 5285390.

It is an arithmetic number, because the mean of its divisors is an integer number (78444217068).

Almost surely, 2^{3534138251520} is an apocalyptic number.

3534138251520 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 3534138251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5647983628896).

3534138251520 is an abundant number, since it is smaller than the sum of its proper divisors (7761829006272).

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

3534138251520 is a wasteful number, since it uses less digits than its factorization.

3534138251520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718648 (or 718634 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 3534138251520 in words is "three trillion, five hundred thirty-four billion, one hundred thirty-eight million, two hundred fifty-one thousand, five hundred twenty".