3467238915840 has 1152 divisors, whose sum is σ = 13745651318784. Its totient is φ = 727474176000.

The previous prime is 3467238915761. The next prime is 3467238915841. The reversal of 3467238915840 is 485198327643.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3467238915841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2510671950 + ... + 2510673330.

It is an arithmetic number, because the mean of its divisors is an integer number (11931988992).

It is a 1-persistent number, because it is pandigital, but 2⋅3467238915840 = 6934477831680 is not.

Almost surely, 2^{3467238915840} is an apocalyptic number.

3467238915840 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 3467238915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6872825659392).

3467238915840 is an abundant number, since it is smaller than the sum of its proper divisors (10278412402944).

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

3467238915840 is a wasteful number, since it uses less digits than its factorization.

3467238915840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 3467238915840 in words is "three trillion, four hundred sixty-seven billion, two hundred thirty-eight million, nine hundred fifteen thousand, eight hundred forty".