3428982000 has 240 divisors, whose sum is σ = 12049532352. Its totient is φ = 908812800.

The previous prime is 3428981999. The next prime is 3428982031. The reversal of 3428982000 is 2898243.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3545517 + ... + 3546483.

Almost surely, 2^3428982000 is an apocalyptic number.

3428982000 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 3428982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6024766176).

3428982000 is an abundant number, since it is smaller than the sum of its proper divisors (8620550352).

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

3428982000 is a wasteful number, since it uses less digits than its factorization.

3428982000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3428982000 is about 58557.5101929718. The cubic root of 3428982000 is about 1507.9550699933.

The spelling of 3428982000 in words is "three billion, four hundred twenty-eight million, nine hundred eighty-two thousand".