3534091223040 has 1024 divisors, whose sum is σ = 14548140864000. Its totient is φ = 807218970624.

The previous prime is 3534091223027. The next prime is 3534091223041. The reversal of 3534091223040 is 403221904353.

3534091223040 is a `hidden beast` number, since 3 + 5 + 3 + 409 + 12 + 230 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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

It is a junction number, because it is equal to n+sod(n) for n = 3534091222986 and 3534091223004.

It is not an unprimeable number, because it can be changed into a prime (3534091223041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2508225856 + ... + 2508227264.

Almost surely, 2^{3534091223040} is an apocalyptic number.

3534091223040 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 3534091223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7274070432000).

3534091223040 is an abundant number, since it is smaller than the sum of its proper divisors (11014049640960).

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

3534091223040 is an frugal number, since it uses more digits than its factorization.

3534091223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 3534091223040 in words is "three trillion, five hundred thirty-four billion, ninety-one million, two hundred twenty-three thousand, forty".