3453283890756 has 216 divisors, whose sum is σ = 10937315669280. Its totient is φ = 912985323264.

The previous prime is 3453283890751. The next prime is 3453283890773. The reversal of 3453283890756 is 6570983823543.

It is a happy number.

3453283890756 is a `hidden beast` number, since 3 + 4 + 532 + 8 + 3 + 8 + 90 + 7 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3453283890693 and 3453283890702.

It is not an unprimeable number, because it can be changed into a prime (3453283890751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 243120 + ... + 2639256.

Almost surely, 2^{3453283890756} is an apocalyptic number.

3453283890756 is a gapful number since it is divisible by the number (36) 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 3453283890756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5468657834640).

3453283890756 is an abundant number, since it is smaller than the sum of its proper divisors (7484031778524).

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

3453283890756 is a wasteful number, since it uses less digits than its factorization.

3453283890756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396223 (or 2396211 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 3453283890756 in words is "three trillion, four hundred fifty-three billion, two hundred eighty-three million, eight hundred ninety thousand, seven hundred fifty-six".