3430033782840 has 96 divisors (see below), whose sum is σ = 12740125488480. Its totient is φ = 784007721216.

The previous prime is 3430033782839. The next prime is 3430033782863. The reversal of 3430033782840 is 482873300343.

3430033782840 is a `hidden beast` number, since 3 + 4 + 30 + 0 + 337 + 8 + 284 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 680559739 + ... + 680564778.

It is an arithmetic number, because the mean of its divisors is an integer number (132709640505).

Almost surely, 2^{3430033782840} is an apocalyptic number.

3430033782840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3430033782840 is an abundant number, since it is smaller than the sum of its proper divisors (9310091705640).

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

3430033782840 is a wasteful number, since it uses less digits than its factorization.

3430033782840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361124541 (or 1361124534 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 3430033782840 in words is "three trillion, four hundred thirty billion, thirty-three million, seven hundred eighty-two thousand, eight hundred forty".