3462697309440 has 288 divisors, whose sum is σ = 11323722848256. Its totient is φ = 901534556160.

The previous prime is 3462697309381. The next prime is 3462697309441. The reversal of 3462697309440 is 449037962643.

It is a super-2 number, since 2×3462697309440² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3462697309441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28020267 + ... + 28143573.

It is an arithmetic number, because the mean of its divisors is an integer number (39318482112).

Almost surely, 2^{3462697309440} is an apocalyptic number.

3462697309440 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 3462697309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5661861424128).

3462697309440 is an abundant number, since it is smaller than the sum of its proper divisors (7861025538816).

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

3462697309440 is a wasteful number, since it uses less digits than its factorization.

3462697309440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123505 (or 123491 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 57.

The spelling of 3462697309440 in words is "three trillion, four hundred sixty-two billion, six hundred ninety-seven million, three hundred nine thousand, four hundred forty".