3534261146032 has 80 divisors (see below), whose sum is σ = 7347202492000. Its totient is φ = 1641957765120.

The previous prime is 3534261146023. The next prime is 3534261146063. The reversal of 3534261146032 is 2306411624353.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6198808 + ... + 6744904.

It is an arithmetic number, because the mean of its divisors is an integer number (91840031150).

Almost surely, 2^{3534261146032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3534261146032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673601246000).

3534261146032 is an abundant number, since it is smaller than the sum of its proper divisors (3812941345968).

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

3534261146032 is a wasteful number, since it uses less digits than its factorization.

3534261146032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546534 (or 546528 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 3534261146032 in words is "three trillion, five hundred thirty-four billion, two hundred sixty-one million, one hundred forty-six thousand, thirty-two".