3461152413420 has 288 divisors, whose sum is σ = 11850030646272. Its totient is φ = 811340665344.

The previous prime is 3461152413337. The next prime is 3461152413431. The reversal of 3461152413420 is 243142511643.

3461152413420 is a `hidden beast` number, since 3 + 4 + 61 + 15 + 241 + 342 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12075489 + ... + 12358791.

It is an arithmetic number, because the mean of its divisors is an integer number (41145939744).

Almost surely, 2^{3461152413420} is an apocalyptic number.

3461152413420 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 3461152413420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5925015323136).

3461152413420 is an abundant number, since it is smaller than the sum of its proper divisors (8388878232852).

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

3461152413420 is a wasteful number, since it uses less digits than its factorization.

3461152413420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283581 (or 283576 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 3461152413420 in words is "three trillion, four hundred sixty-one billion, one hundred fifty-two million, four hundred thirteen thousand, four hundred twenty".