3438252797980 has 576 divisors, whose sum is σ = 10234818994176. Its totient is φ = 942903244800.

The previous prime is 3438252797977. The next prime is 3438252797983. The reversal of 3438252797980 is 897972528343.

It is an interprime number because it is at equal distance from previous prime (3438252797977) and next prime (3438252797983).

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3438252797983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 457393182 + ... + 457400698.

It is an arithmetic number, because the mean of its divisors is an integer number (17768782976).

Almost surely, 2^{3438252797980} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3438252797980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5117409497088).

3438252797980 is an abundant number, since it is smaller than the sum of its proper divisors (6796566196196).

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

3438252797980 is a wasteful number, since it uses less digits than its factorization.

3438252797980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7666 (or 7653 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 67.

The spelling of 3438252797980 in words is "three trillion, four hundred thirty-eight billion, two hundred fifty-two million, seven hundred ninety-seven thousand, nine hundred eighty".