3489067940820 has 480 divisors, whose sum is σ = 13087512506880. Its totient is φ = 686837249280.

The previous prime is 3489067940753. The next prime is 3489067940821. The reversal of 3489067940820 is 280497609843.

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 (3489067940821) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30050599 + ... + 30166481.

It is an arithmetic number, because the mean of its divisors is an integer number (27265651056).

Almost surely, 2^{3489067940820} is an apocalyptic number.

3489067940820 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 3489067940820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6543756253440).

3489067940820 is an abundant number, since it is smaller than the sum of its proper divisors (9598444566060).

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

3489067940820 is a wasteful number, since it uses less digits than its factorization.

3489067940820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115953 (or 115930 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 3489067940820 in words is "three trillion, four hundred eighty-nine billion, sixty-seven million, nine hundred forty thousand, eight hundred twenty".