3438985360 has 80 divisors (see below), whose sum is σ = 8103320640. Its totient is φ = 1357171200.

The previous prime is 3438985307. The next prime is 3438985367. The reversal of 3438985360 is 635898343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3438985367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3061759 + ... + 3062881.

It is an arithmetic number, because the mean of its divisors is an integer number (101291508).

Almost surely, 2^3438985360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3438985360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051660320).

3438985360 is an abundant number, since it is smaller than the sum of its proper divisors (4664335280).

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

3438985360 is a wasteful number, since it uses less digits than its factorization.

3438985360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

The square root of 3438985360 is about 58642.8628223418. The cubic root of 3438985360 is about 1509.4200307684.

The spelling of 3438985360 in words is "three billion, four hundred thirty-eight million, nine hundred eighty-five thousand, three hundred sixty".