3435054840 has 576 divisors, whose sum is σ = 14090263200. Its totient is φ = 721115136.

The previous prime is 3435054839. The next prime is 3435054863. The reversal of 3435054840 is 484505343.

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

It is a junction number, because it is equal to n+sod(n) for n = 3435054795 and 3435054804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12400782 + ... + 12401058.

Almost surely, 2^3435054840 is an apocalyptic number.

3435054840 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 3435054840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7045131600).

3435054840 is an abundant number, since it is smaller than the sum of its proper divisors (10655208360).

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

3435054840 is a wasteful number, since it uses less digits than its factorization.

3435054840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 3435054840 is about 58609.3408937517. The cubic root of 3435054840 is about 1508.8447576674.

The spelling of 3435054840 in words is "three billion, four hundred thirty-five million, fifty-four thousand, eight hundred forty".