3435970560 has 480 divisors, whose sum is σ = 12683188224. Its totient is φ = 786432000.

The previous prime is 3435970543. The next prime is 3435970561. The reversal of 3435970560 is 650795343.

It is a tau number, because it is divible by the number of its divisors (480).

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3435970561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83804140 + ... + 83804180.

Almost surely, 2^3435970560 is an apocalyptic number.

3435970560 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 3435970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6341594112).

3435970560 is an abundant number, since it is smaller than the sum of its proper divisors (9247217664).

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

3435970560 is a wasteful number, since it uses less digits than its factorization.

3435970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 42.

The square root of 3435970560 is about 58617.1524385141. The cubic root of 3435970560 is about 1508.9788221513.

The spelling of 3435970560 in words is "three billion, four hundred thirty-five million, nine hundred seventy thousand, five hundred sixty".