3480624 has 80 divisors (see below), whose sum is σ = 11427840. Its totient is φ = 993600.

The previous prime is 3480623. The next prime is 3480641. The reversal of 3480624 is 4260843.

3480624 = T₅₂ + T₅₃ + ... + T₂₇₅.

3480624 is a `hidden beast` number, since 34 + 8 + 0 + 624 = 666.

It is a super-2 number, since 2×3480624² = 24229486858752, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3480623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2449 + ... + 3599.

It is an arithmetic number, because the mean of its divisors is an integer number (142848).

Almost surely, 2^3480624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3480624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713920).

3480624 is an abundant number, since it is smaller than the sum of its proper divisors (7947216).

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

3480624 is a wasteful number, since it uses less digits than its factorization.

3480624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3480624 is about 1865.6430526765. The cubic root of 3480624 is about 151.5487540373.

The spelling of 3480624 in words is "three million, four hundred eighty thousand, six hundred twenty-four".