3420528142500 has 1080 divisors, whose sum is σ = 13249617565184. Its totient is φ = 756614520000.

The previous prime is 3420528142483. The next prime is 3420528142513. The reversal of 3420528142500 is 52418250243.

3420528142500 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 5 + 2 + 8 + 142 + 500 = 666.

3420528142500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 110339617485 + ... + 110339617515.

Almost surely, 2^{3420528142500} is an apocalyptic number.

3420528142500 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 3420528142500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6624808782592).

3420528142500 is an abundant number, since it is smaller than the sum of its proper divisors (9829089422684).

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

3420528142500 is an frugal number, since it uses more digits than its factorization.

3420528142500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 3420528142500 in words is "three trillion, four hundred twenty billion, five hundred twenty-eight million, one hundred forty-two thousand, five hundred".