3410672261040 has 720 divisors, whose sum is σ = 13069525996800. Its totient is φ = 790370841600.

The previous prime is 3410672260979. The next prime is 3410672261041. The reversal of 3410672261040 is 401622760143.

3410672261040 is a `hidden beast` number, since 3 + 4 + 10 + 6 + 7 + 22 + 610 + 4 + 0 = 666.

3410672261040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 3410672260986 and 3410672261004.

It is not an unprimeable number, because it can be changed into a prime (3410672261041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 631720261 + ... + 631725659.

It is an arithmetic number, because the mean of its divisors is an integer number (18152119440).

Almost surely, 2^{3410672261040} is an apocalyptic number.

3410672261040 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 3410672261040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6534762998400).

3410672261040 is an abundant number, since it is smaller than the sum of its proper divisors (9658853735760).

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

3410672261040 is a wasteful number, since it uses less digits than its factorization.

3410672261040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5574 (or 5534 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 3410672261040 in words is "three trillion, four hundred ten billion, six hundred seventy-two million, two hundred sixty-one thousand, forty".