3453840 has 200 divisors, whose sum is σ = 13233528. Its totient is φ = 829440.

The previous prime is 3453833. The next prime is 3453943. The reversal of 3453840 is 483543.

3453840 = 270² + 271² + ... + 310².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 3370896 = 288^2 + 1836^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84220 + ... + 84260.

Almost surely, 2^3453840 is an apocalyptic number.

3453840 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 3453840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6616764).

3453840 is an abundant number, since it is smaller than the sum of its proper divisors (9779688).

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

3453840 is a wasteful number, since it uses less digits than its factorization.

3453840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3453840 is about 1858.4509678762. The cubic root of 3453840 is about 151.1590213968.

Adding to 3453840 its product of nonzero digits (5760), we get a square (3459600 = 1860²).

The spelling of 3453840 in words is "three million, four hundred fifty-three thousand, eight hundred forty".