3435907072 has 192 divisors, whose sum is σ = 8013358080. Its totient is φ = 1459814400.

The previous prime is 3435907039. The next prime is 3435907081. The reversal of 3435907072 is 2707095343.

It is a super-2 number, since 2×3435907072² = 23610914814839226368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18982822 + ... + 18983002.

It is an arithmetic number, because the mean of its divisors is an integer number (41736240).

Almost surely, 2^3435907072 is an apocalyptic number.

3435907072 is a gapful number since it is divisible by the number (32) 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 3435907072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4006679040).

3435907072 is an abundant number, since it is smaller than the sum of its proper divisors (4577451008).

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

3435907072 is a wasteful number, since it uses less digits than its factorization.

3435907072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 40.

The square root of 3435907072 is about 58616.6108880409. The cubic root of 3435907072 is about 1508.9695280634.

The spelling of 3435907072 in words is "three billion, four hundred thirty-five million, nine hundred seven thousand, seventy-two".