3506454240 has 96 divisors (see below), whose sum is σ = 11053669536. Its totient is φ = 934348800.

The previous prime is 3506454233. The next prime is 3506454241. The reversal of 3506454240 is 424546053.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3506454241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1060590 + ... + 1063890.

It is an arithmetic number, because the mean of its divisors is an integer number (115142391).

Almost surely, 2^3506454240 is an apocalyptic number.

3506454240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3506454240 is an abundant number, since it is smaller than the sum of its proper divisors (7547215296).

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

3506454240 is a wasteful number, since it uses less digits than its factorization.

3506454240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5532 (or 5524 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 3506454240 is about 59215.3209904329. The cubic root of 3506454240 is about 1519.2271925621.

The spelling of 3506454240 in words is "three billion, five hundred six million, four hundred fifty-four thousand, two hundred forty".