3506265420 has 192 divisors, whose sum is σ = 11444944896. Its totient is φ = 785514240.

The previous prime is 3506265401. The next prime is 3506265439. The reversal of 3506265420 is 245626053.

It is an interprime number because it is at equal distance from previous prime (3506265401) and next prime (3506265439).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9154549 + ... + 9154931.

It is an arithmetic number, because the mean of its divisors is an integer number (59609088).

Almost surely, 2^3506265420 is an apocalyptic number.

3506265420 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 3506265420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5722472448).

3506265420 is an abundant number, since it is smaller than the sum of its proper divisors (7938679476).

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

3506265420 is a wasteful number, since it uses less digits than its factorization.

3506265420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 3506265420 is about 59213.7266180740. The cubic root of 3506265420 is about 1519.1999223144.

The spelling of 3506265420 in words is "three billion, five hundred six million, two hundred sixty-five thousand, four hundred twenty".