3488546880 has 1344 divisors, whose sum is σ = 16775216640. Its totient is φ = 668860416.

The previous prime is 3488546879. The next prime is 3488546881. The reversal of 3488546880 is 886458843.

It is an interprime number because it is at equal distance from previous prime (3488546879) and next prime (3488546881).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3488546881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 120294706 + ... + 120294734.

It is an arithmetic number, because the mean of its divisors is an integer number (12481560).

Almost surely, 2^3488546880 is an apocalyptic number.

3488546880 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 3488546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8387608320).

3488546880 is an abundant number, since it is smaller than the sum of its proper divisors (13286669760).

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

3488546880 is a wasteful number, since it uses less digits than its factorization.

3488546880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The square root of 3488546880 is about 59063.9219828822. The cubic root of 3488546880 is about 1516.6365610630.

The spelling of 3488546880 in words is "three billion, four hundred eighty-eight million, five hundred forty-six thousand, eight hundred eighty".