3453924240 has 480 divisors, whose sum is σ = 13194155520. Its totient is φ = 834582528.

The previous prime is 3453924239. The next prime is 3453924277. The reversal of 3453924240 is 424293543.

3453924240 is a `hidden beast` number, since 345 + 39 + 242 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3453924195 and 3453924204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19964794 + ... + 19964966.

It is an arithmetic number, because the mean of its divisors is an integer number (27487824).

Almost surely, 2^3453924240 is an apocalyptic number.

3453924240 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 3453924240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6597077760).

3453924240 is an abundant number, since it is smaller than the sum of its proper divisors (9740231280).

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

3453924240 is a wasteful number, since it uses less digits than its factorization.

3453924240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3453924240 is about 58770.0964777156. The cubic root of 3453924240 is about 1511.6025032191.

The spelling of 3453924240 in words is "three billion, four hundred fifty-three million, nine hundred twenty-four thousand, two hundred forty".