3538080 has 288 divisors, whose sum is σ = 15410304. Its totient is φ = 746496.

The previous prime is 3538039. The next prime is 3538103. The reversal of 3538080 is 808353.

3538080 = T₃₀₀ + T₃₀₁ + ... + T₃₆₃.

3538080 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an Ulam number.

3538080 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272154 + ... + 272166.

It is an arithmetic number, because the mean of its divisors is an integer number (53508).

Almost surely, 2^3538080 is an apocalyptic number.

3538080 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 3538080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7705152).

3538080 is an abundant number, since it is smaller than the sum of its proper divisors (11872224).

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

3538080 is a wasteful number, since it uses less digits than its factorization.

3538080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3538080 is about 1880.9784687763. The cubic root of 3538080 is about 152.3780984088.

The spelling of 3538080 in words is "three million, five hundred thirty-eight thousand, eighty".