3486397980 has 192 divisors, whose sum is σ = 11018649600. Its totient is φ = 817689600.

The previous prime is 3486397973. The next prime is 3486398051. The reversal of 3486397980 is 897936843.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3486397980.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1786005 + ... + 1787955.

It is an arithmetic number, because the mean of its divisors is an integer number (57388800).

Almost surely, 2^3486397980 is an apocalyptic number.

3486397980 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 3486397980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5509324800).

3486397980 is an abundant number, since it is smaller than the sum of its proper divisors (7532251620).

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

3486397980 is a wasteful number, since it uses less digits than its factorization.

3486397980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The square root of 3486397980 is about 59045.7278725565. The cubic root of 3486397980 is about 1516.3250875627.

The spelling of 3486397980 in words is "three billion, four hundred eighty-six million, three hundred ninety-seven thousand, nine hundred eighty".