3485807640 has 384 divisors, whose sum is σ = 13927680000. Its totient is φ = 738284544.

The previous prime is 3485807639. The next prime is 3485807641. The reversal of 3485807640 is 467085843.

3485807640 is a `hidden beast` number, since 3 + 4 + 8 + 580 + 7 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3485807639) and next prime (3485807641).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3485807641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2249586 + ... + 2251134.

It is an arithmetic number, because the mean of its divisors is an integer number (36270000).

Almost surely, 2^3485807640 is an apocalyptic number.

3485807640 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 3485807640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963840000).

3485807640 is an abundant number, since it is smaller than the sum of its proper divisors (10441872360).

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

3485807640 is a wasteful number, since it uses less digits than its factorization.

3485807640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3485807640 is about 59040.7286540402. The cubic root of 3485807640 is about 1516.2394979956.

The spelling of 3485807640 in words is "three billion, four hundred eighty-five million, eight hundred seven thousand, six hundred forty".