3457440 has 180 divisors, whose sum is σ = 13764114. Its totient is φ = 790272.

The previous prime is 3457427. The next prime is 3457453. The reversal of 3457440 is 447543.

It is an interprime number because it is at equal distance from previous prime (3457427) and next prime (3457453).

It can be written as a sum of positive squares in only one way, i.e., 3111696 + 345744 = 1764^2 + 588^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 493917 + ... + 493923.

Almost surely, 2^3457440 is an apocalyptic number.

3457440 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 3457440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6882057).

3457440 is an abundant number, since it is smaller than the sum of its proper divisors (10306674).

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

3457440 is an equidigital number, since it uses as much as digits as its factorization.

3457440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 3457440 is about 1859.4192641790. The cubic root of 3457440 is about 151.2115217557.

The spelling of 3457440 in words is "three million, four hundred fifty-seven thousand, four hundred forty".