3441167040 has 224 divisors, whose sum is σ = 11376599040. Its totient is φ = 880562176.

The previous prime is 3441167039. The next prime is 3441167071. The reversal of 3441167040 is 407611443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3441166989 and 3441167007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2390641 + ... + 2392079.

Almost surely, 2^3441167040 is an apocalyptic number.

3441167040 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 3441167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688299520).

3441167040 is an abundant number, since it is smaller than the sum of its proper divisors (7935432000).

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

3441167040 is a wasteful number, since it uses less digits than its factorization.

3441167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3441167040 is about 58661.4612842196. The cubic root of 3441167040 is about 1509.7391535156.

Adding to 3441167040 its reverse (407611443), we get a palindrome (3848778483).

The spelling of 3441167040 in words is "three billion, four hundred forty-one million, one hundred sixty-seven thousand, forty".