3484593840 has 480 divisors, whose sum is σ = 14135095296. Its totient is φ = 702535680.

The previous prime is 3484593811. The next prime is 3484593851. The reversal of 3484593840 is 483954843.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3484593840.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3515745 + ... + 3516735.

Almost surely, 2^3484593840 is an apocalyptic number.

3484593840 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 3484593840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7067547648).

3484593840 is an abundant number, since it is smaller than the sum of its proper divisors (10650501456).

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

3484593840 is a wasteful number, since it uses less digits than its factorization.

3484593840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The square root of 3484593840 is about 59030.4484143565. The cubic root of 3484593840 is about 1516.0634866422.

The spelling of 3484593840 in words is "three billion, four hundred eighty-four million, five hundred ninety-three thousand, eight hundred forty".