3401533440 has 288 divisors, whose sum is σ = 12234680640. Its totient is φ = 906412032.

The previous prime is 3401533433. The next prime is 3401533441. The reversal of 3401533440 is 443351043.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3401533441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2487637 + ... + 2489003.

It is an arithmetic number, because the mean of its divisors is an integer number (42481530).

Almost surely, 2^3401533440 is an apocalyptic number.

3401533440 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 3401533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6117340320).

3401533440 is an abundant number, since it is smaller than the sum of its proper divisors (8833147200).

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

3401533440 is an equidigital number, since it uses as much as digits as its factorization.

3401533440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3401533440 is about 58322.6666057031. Note that the first 4 decimals coincide. The cubic root of 3401533440 is about 1503.9206235459.

Adding to 3401533440 its reverse (443351043), we get a palindrome (3844884483).

The spelling of 3401533440 in words is "three billion, four hundred one million, five hundred thirty-three thousand, four hundred forty".