3434572782000 has 240 divisors, whose sum is σ = 12199140588960. Its totient is φ = 900362304000.

The previous prime is 3434572781999. The next prime is 3434572782001. The reversal of 3434572782000 is 2872754343.

3434572782000 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 572 + 78 + 2 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3434572781999) and next prime (3434572782001).

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 (45).

It is not an unprimeable number, because it can be changed into a prime (3434572782001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555031 + ... + 2679030.

It is an arithmetic number, because the mean of its divisors is an integer number (50829752454).

Almost surely, 2^{3434572782000} is an apocalyptic number.

3434572782000 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 3434572782000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6099570294480).

3434572782000 is an abundant number, since it is smaller than the sum of its proper divisors (8764567806960).

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

3434572782000 is a wasteful number, since it uses less digits than its factorization.

3434572782000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234149 (or 3234130 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 3434572782000 in words is "three trillion, four hundred thirty-four billion, five hundred seventy-two million, seven hundred eighty-two thousand".