3428924436000 has 576 divisors, whose sum is σ = 14135776252416. Its totient is φ = 770902272000.

The previous prime is 3428924435999. The next prime is 3428924436017. The reversal of 3428924436000 is 6344298243.

3428924436000 is a `hidden beast` number, since 3 + 4 + 289 + 2 + 4 + 4 + 360 + 0 + 0 = 666.

3428924436000 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15260469 + ... + 15483531.

It is an arithmetic number, because the mean of its divisors is an integer number (24541278216).

Almost surely, 2^{3428924436000} is an apocalyptic number.

3428924436000 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 3428924436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7067888126208).

3428924436000 is an abundant number, since it is smaller than the sum of its proper divisors (10706851816416).

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

3428924436000 is a wasteful number, since it uses less digits than its factorization.

3428924436000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223162 (or 223141 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 3428924436000 in words is "three trillion, four hundred twenty-eight billion, nine hundred twenty-four million, four hundred thirty-six thousand".