3457620 has 96 divisors (see below), whose sum is σ = 11356800. Its totient is φ = 870912.

The previous prime is 3457609. The next prime is 3457631. The reversal of 3457620 is 267543.

It is a happy number.

3457620 is a `hidden beast` number, since 34 + 5 + 7 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (3457609) and next prime (3457631).

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

It is an Ulam number.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10092 + ... + 10428.

It is an arithmetic number, because the mean of its divisors is an integer number (118300).

Almost surely, 2^3457620 is an apocalyptic number.

3457620 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 3457620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5678400).

3457620 is an abundant number, since it is smaller than the sum of its proper divisors (7899180).

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

3457620 is a wasteful number, since it uses less digits than its factorization.

3457620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3457620 is about 1859.4676657581. The cubic root of 3457620 is about 151.2141458169.

It can be divided in two parts, 34576 and 20, that added together give a square (34596 = 186²).

The spelling of 3457620 in words is "three million, four hundred fifty-seven thousand, six hundred twenty".