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3394821780 = 223657293137
BaseRepresentation
bin1100101001011000…
…1101111010010100
322202120221211000000
43022112031322110
523423033244110
61320510451300
7150061336410
oct31226157224
98676854000
103394821780
111492319939
127a8b03b30
13421431bac
14242c1dd40
1514d0831c0
hexca58de94

3394821780 has 672 divisors, whose sum is σ = 13397207040. Its totient is φ = 705438720.

The previous prime is 3394821779. The next prime is 3394821791. The reversal of 3394821780 is 871284933.

3394821780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 91751922 + ... + 91751958.

It is an arithmetic number, because the mean of its divisors is an integer number (19936320).

Almost surely, 23394821780 is an apocalyptic number.

3394821780 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 3394821780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6698603520).

3394821780 is an abundant number, since it is smaller than the sum of its proper divisors (10002385260).

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

3394821780 is a wasteful number, since it uses less digits than its factorization.

3394821780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3394821780 is about 58265.0991589305. The cubic root of 3394821780 is about 1502.9308297616.

The spelling of 3394821780 in words is "three billion, three hundred ninety-four million, eight hundred twenty-one thousand, seven hundred eighty".