3435383040 has 288 divisors, whose sum is σ = 11595661056. Its totient is φ = 865075200.

The previous prime is 3435382997. The next prime is 3435383057. The reversal of 3435383040 is 403835343.

It is a junction number, because it is equal to n+sod(n) for n = 3435382992 and 3435383010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8566840 + ... + 8567240.

It is an arithmetic number, because the mean of its divisors is an integer number (40262712).

Almost surely, 2^3435383040 is an apocalyptic number.

3435383040 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 3435383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797830528).

3435383040 is an abundant number, since it is smaller than the sum of its proper divisors (8160278016).

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

3435383040 is a wasteful number, since it uses less digits than its factorization.

3435383040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 3435383040 is about 58612.1407218675. The cubic root of 3435383040 is about 1508.8928099890.

The spelling of 3435383040 in words is "three billion, four hundred thirty-five million, three hundred eighty-three thousand, forty".