3453960 has 64 divisors (see below), whose sum is σ = 10497600. Its totient is φ = 909056.

The previous prime is 3453949. The next prime is 3453971. The reversal of 3453960 is 693543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3453949) and next prime (3453971).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 3¹³ + 4⁹ + 5⁵ + 3¹³ + 9 + 6² + 0 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12706 + ... + 12974.

It is an arithmetic number, because the mean of its divisors is an integer number (164025).

Almost surely, 2^3453960 is an apocalyptic number.

3453960 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 3453960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248800).

3453960 is an abundant number, since it is smaller than the sum of its proper divisors (7043640).

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

3453960 is a wasteful number, since it uses less digits than its factorization.

3453960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 3453960 is about 1858.4832525476. The cubic root of 3453960 is about 151.1607719963.

The spelling of 3453960 in words is "three million, four hundred fifty-three thousand, nine hundred sixty".