3506339760 has 320 divisors, whose sum is σ = 14350224384. Its totient is φ = 685670400.

The previous prime is 3506339747. The next prime is 3506339761. The reversal of 3506339760 is 679336053.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3506339761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308580 + ... + 319740.

Almost surely, 2^3506339760 is an apocalyptic number.

3506339760 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 3506339760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7175112192).

3506339760 is an abundant number, since it is smaller than the sum of its proper divisors (10843884624).

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

3506339760 is a wasteful number, since it uses less digits than its factorization.

3506339760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11212 (or 11206 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 42.

The square root of 3506339760 is about 59214.3543408184. The cubic root of 3506339760 is about 1519.2106589539.

The spelling of 3506339760 in words is "three billion, five hundred six million, three hundred thirty-nine thousand, seven hundred sixty".