34028867796480 has 720 divisors, whose sum is σ = 127415663719344. Its totient is φ = 8387005317120.

The previous prime is 34028867796479. The next prime is 34028867796523. The reversal of 34028867796480 is 8469776882043.

34028867796480 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 88 + 67 + 7 + 9 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×34028867796480² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 34028867796399 and 34028867796408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 340965147 + ... + 341064933.

Almost surely, 2^{34028867796480} is an apocalyptic number.

34028867796480 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 34028867796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63707831859672).

34028867796480 is an abundant number, since it is smaller than the sum of its proper divisors (93386795922864).

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

34028867796480 is a wasteful number, since it uses less digits than its factorization.

34028867796480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99895 (or 99857 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 34028867796480 in words is "thirty-four trillion, twenty-eight billion, eight hundred sixty-seven million, seven hundred ninety-six thousand, four hundred eighty".