3506626080 has 144 divisors (see below), whose sum is σ = 12409697664. Its totient is φ = 935089920.

The previous prime is 3506626043. The next prime is 3506626093. The reversal of 3506626080 is 806266053.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6216 + ... + 83975.

It is an arithmetic number, because the mean of its divisors is an integer number (86178456).

Almost surely, 2^3506626080 is an apocalyptic number.

3506626080 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 3506626080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6204848832).

3506626080 is an abundant number, since it is smaller than the sum of its proper divisors (8903071584).

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

3506626080 is an equidigital number, since it uses as much as digits as its factorization.

3506626080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90221 (or 90201 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3506626080 is about 59216.7719484945. The cubic root of 3506626080 is about 1519.2520096298.

The spelling of 3506626080 in words is "three billion, five hundred six million, six hundred twenty-six thousand, eighty".