3488927040 has 448 divisors, whose sum is σ = 13047390720. Its totient is φ = 875888640.

The previous prime is 3488927011. The next prime is 3488927069. The reversal of 3488927040 is 407298843.

It is an interprime number because it is at equal distance from previous prime (3488927011) and next prime (3488927069).

It is a super-2 number, since 2×3488927040² = 24345223780886323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19275750 + ... + 19275930.

It is an arithmetic number, because the mean of its divisors is an integer number (29123640).

Almost surely, 2^3488927040 is an apocalyptic number.

3488927040 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 3488927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6523695360).

3488927040 is an abundant number, since it is smaller than the sum of its proper divisors (9558463680).

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

3488927040 is a wasteful number, since it uses less digits than its factorization.

3488927040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3488927040 is about 59067.1401034450. The cubic root of 3488927040 is about 1516.6916502479.

The spelling of 3488927040 in words is "three billion, four hundred eighty-eight million, nine hundred twenty-seven thousand, forty".