35428344606720 has 1664 divisors, whose sum is σ = 138149547540480. Its totient is φ = 8561413324800.

The previous prime is 35428344606719. The next prime is 35428344606751. The reversal of 35428344606720 is 2760644382453.

35428344606720 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 8 + 3 + 4 + 4 + 606 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-2 number, since 2×35428344606720² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 137853480832 + ... + 137853481088.

Almost surely, 2^{35428344606720} is an apocalyptic number.

35428344606720 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 35428344606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69074773770240).

35428344606720 is an abundant number, since it is smaller than the sum of its proper divisors (102721202933760).

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

35428344606720 is a wasteful number, since it uses less digits than its factorization.

35428344606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 35428344606720 in words is "thirty-five trillion, four hundred twenty-eight billion, three hundred forty-four million, six hundred six thousand, seven hundred twenty".