3487201920 has 192 divisors, whose sum is σ = 12212778240. Its totient is φ = 916715520.

The previous prime is 3487201919. The next prime is 3487201933. The reversal of 3487201920 is 291027843.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 404697 + ... + 413223.

It is an arithmetic number, because the mean of its divisors is an integer number (63608220).

Almost surely, 2^3487201920 is an apocalyptic number.

3487201920 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 3487201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106389120).

3487201920 is an abundant number, since it is smaller than the sum of its proper divisors (8725576320).

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

3487201920 is a wasteful number, since it uses less digits than its factorization.

3487201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8623 (or 8608 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3487201920 is about 59052.5352546358. The cubic root of 3487201920 is about 1516.4416300715.

The spelling of 3487201920 in words is "three billion, four hundred eighty-seven million, two hundred one thousand, nine hundred twenty".