3461280000 has 180 divisors, whose sum is σ = 11512977168. Its totient is φ = 922880000.

The previous prime is 3461279993. The next prime is 3461280001. The reversal of 3461280000 is 821643.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3461280001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 476395 + ... + 483605.

Almost surely, 2^3461280000 is an apocalyptic number.

3461280000 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 3461280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5756488584).

3461280000 is an abundant number, since it is smaller than the sum of its proper divisors (8051697168).

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

3461280000 is an frugal number, since it uses more digits than its factorization.

3461280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7250 (or 7221 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3461280000 is about 58832.6439997388. The cubic root of 3461280000 is about 1512.6748198540.

It can be divided in two parts, 3 and 461280000, that multiplied together give a square (1383840000 = 37200²).

The spelling of 3461280000 in words is "three billion, four hundred sixty-one million, two hundred eighty thousand".