3441191040 has 768 divisors, whose sum is σ = 14702688000. Its totient is φ = 752467968.

The previous prime is 3441191029. The next prime is 3441191063. The reversal of 3441191040 is 401911443.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3441190995 and 3441191013.

It is a congruent number.

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, 31570506 + ... + 31570614.

It is an arithmetic number, because the mean of its divisors is an integer number (19144125).

Almost surely, 2^3441191040 is an apocalyptic number.

3441191040 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 3441191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7351344000).

3441191040 is an abundant number, since it is smaller than the sum of its proper divisors (11261496960).

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

3441191040 is a wasteful number, since it uses less digits than its factorization.

3441191040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3441191040 is about 58661.6658474681. The cubic root of 3441191040 is about 1509.7426633380.

It can be divided in two parts, 3441 and 191040, that added together give a 4-th power (194481 = 21⁴).

The spelling of 3441191040 in words is "three billion, four hundred forty-one million, one hundred ninety-one thousand, forty".