3454450940448 has 384 divisors, whose sum is σ = 10716249600000. Its totient is φ = 1079576543232.

The previous prime is 3454450940431. The next prime is 3454450940461. The reversal of 3454450940448 is 8440490544543.

3454450940448 is a `hidden beast` number, since 3 + 4 + 54 + 4 + 509 + 40 + 4 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3454450940394 and 3454450940403.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 630486573 + ... + 630492051.

It is an arithmetic number, because the mean of its divisors is an integer number (27906900000).

Almost surely, 2^{3454450940448} is an apocalyptic number.

3454450940448 is a gapful number since it is divisible by the number (38) 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 3454450940448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5358124800000).

3454450940448 is an abundant number, since it is smaller than the sum of its proper divisors (7261798659552).

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

3454450940448 is a wasteful number, since it uses less digits than its factorization.

3454450940448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5909 (or 5895 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 3454450940448 in words is "three trillion, four hundred fifty-four billion, four hundred fifty million, nine hundred forty thousand, four hundred forty-eight".