3454056621540 has 432 divisors, whose sum is σ = 13047035549184. Its totient is φ = 764029324800.

The previous prime is 3454056621517. The next prime is 3454056621637. The reversal of 3454056621540 is 451266504543.

3454056621540 is a `hidden beast` number, since 3 + 4 + 5 + 40 + 5 + 6 + 62 + 1 + 540 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7148400 + ... + 7616280.

Almost surely, 2^{3454056621540} is an apocalyptic number.

3454056621540 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 3454056621540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6523517774592).

3454056621540 is an abundant number, since it is smaller than the sum of its proper divisors (9592978927644).

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

3454056621540 is a wasteful number, since it uses less digits than its factorization.

3454056621540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467950 (or 467929 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 3454056621540 in words is "three trillion, four hundred fifty-four billion, fifty-six million, six hundred twenty-one thousand, five hundred forty".